Prime p₀= 1297221447856060211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 136 2 52 2 28 2 16 2 40 2 (?)
a_n: 0 2 18 20 156 158 210 212 240 242 258 260 300 302
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: 302
Found by: Theadalus
db: batch=77, k=14, 16 136 52 28 16 40

SPT(16)	1297220969786380657	0 22 72 82 84 96 100 102 124 126 130 142 144 154 204 226	-478069679554
SPT(16)	1297221189371110739	0 42 68 128 152 158 164 194 198 228 234 240 264 324 350 392	-258484949472
STPT(10)	1297221197954092469	0 2 42 44 60 62 78 80 120 122	-249901967742
SPT(16)	1297221221584850417	0 60 92 116 144 162 174 186 230 242 254 272 300 324 356 416	-226271209794
SPT(16)	1297221255286014871	0 42 60 70 108 138 150 196 222 268 280 310 348 358 376 418	-192570045340
SPT(16)	1297221373460157631	0 10 22 40 66 82 100 106 126 132 150 166 192 210 222 232	-74395902580
STPT(10)	1297221894392030729	0 2 48 50 90 92 132 134 180 182	446535970518
SPT(16)	1297221960385651387	0 72 84 94 114 126 174 184 192 202 250 262 282 292 304 376	512529591176
STPT(10)	1297221984169972841	0 2 36 38 78 80 120 122 156 158	536313912630
SPT(16)	1297222210916329631	0 36 66 98 138 146 152 180 218 246 252 260 300 332 362 398	763060269420
SPT(16)	1297222396125956959	0 22 42 52 60 70 162 222 280 340 432 442 450 460 480 502	948269896748