Prime p₀= 2944746315961773539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 28 2 70 2 28 2 40 2 (?)
a_n: 0 2 30 32 108 110 138 140 210 212 240 242 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 28 76 28 70 28 40

SPT(16)	2944744807962034901	0 38 48 62 66 96 150 168 290 308 362 392 396 410 420 458	-1507999738638
STPT(10)	2944744913190936377	0 2 30 32 42 44 54 56 84 86	-1402770837162
SPT(16)	2944745069362974481	0 18 28 60 66 70 130 136 192 198 258 262 268 300 310 328	-1246598799058
SPT(16)	2944746137971830553	0 54 58 60 64 70 126 184 210 268 324 330 334 336 340 394	-177989942986
SPT(16)	2944746169597276651	0 28 52 76 78 96 126 148 150 172 202 220 222 246 270 298	-146364496888
SPT(16)	2944746202201641961	0 18 48 60 78 100 118 168 232 282 300 322 340 352 382 400	-113760131578
SPT(16)	2944746536200839691	0 40 46 48 60 88 100 138 298 336 348 376 388 390 396 436	220239066152
STPT(10)	2944746655343638931	0 2 30 32 78 80 126 128 156 158	339381865392
SPT(16)	2944746735916941223	0 10 24 114 120 220 228 240 274 286 294 394 400 490 504 514	419955167684
SPT(16)	2944746760565660693	0 44 48 54 68 90 104 114 170 180 194 216 230 236 240 284	444603887154
SPT(16)	2944746838145876723	0 110 144 170 234 248 290 320 324 354 396 410 474 500 534 644	522184103184