Prime p₀= 1272716224668336821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 76 2 28 2 28 2 16 2 (?)
a_n: 0 2 18 20 90 92 168 170 198 200 228 230 246 248
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 248
Found by: MarkRBright
db: batch=77, k=14, 16 70 76 28 28 16

SPT(18)	1272714370723665707	0 12 14 66 90 102 120 122 140 186 204 206 224 236 260 312 314 326	-1853944671114
TPT(14)	1272714900599246441	0 2 36 38 108 110 150 152 198 200 240 242 360 362	-1324069090380
SPT(16)	1272715236002886679	0 48 64 72 78 168 180 220 222 262 274 364 370 378 394 442	-988665450142
SPT(16)	1272715667927326027	0 4 6 34 54 94 126 150 196 220 252 292 312 340 342 346	-556741010794
SPT(16)	1272715892235467551	0 22 40 76 82 106 126 202 216 292 312 336 342 378 396 418	-332432869270
SPT(20)	1272716126053506751	0 16 22 52 96 102 108 232 282 298 330 346 396 520 526 532 576 606 612 628	-98614830070
SPT(16)	1272716385410569777	0 34 60 66 82 94 96 156 280 340 342 354 370 376 402 436	160742232956
STPT(10)	1272716684301956987	0 2 30 32 60 62 90 92 120 122	459633620166
SPT(18)	1272716738591073847	0 22 30 36 42 52 102 120 142 360 382 400 450 460 466 472 480 502	513922737026
SPT(16)	1272716899173190379	0 2 20 42 44 60 90 104 150 164 194 210 212 234 252 254	674504853558
SPT(16)	1272716909121641869	0 28 30 34 40 84 112 114 268 270 298 342 348 352 354 382	684453305048