Prime p₀= 1245131685593250671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 16 2 10 2 10 2 34 2 (?)
a_n: 0 2 66 68 108 110 126 128 138 140 150 152 186 188
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: 188
Found by: biodoc
db: batch=77, k=14, 64 40 16 10 10 34

SPT(16)	1245131142186562849	0 10 12 18 64 84 88 138 154 204 208 228 274 280 282 292	-543406687822
SPT(16)	1245131269241695621	0 22 70 76 90 148 168 192 196 220 240 298 312 318 366 388	-416351555050
SPT(16)	1245131310572521363	0 6 54 90 118 136 144 150 154 160 168 186 214 250 298 304	-375020729308
SPT(16)	1245131525960844377	0 36 86 114 120 140 144 162 164 182 186 206 212 240 290 326	-159632406294
SPT(16)	1245131661056781109	0 30 52 54 72 94 100 120 184 204 210 232 250 252 274 304	-24536469562
SPT(16)	1245131685487135993	0 46 88 106 108 148 184 210 214 240 276 316 318 336 378 424	-106114678
SPT(16)	1245131766293755943	0 18 30 54 80 114 176 180 224 228 290 324 350 374 386 404	80700505272
TPT(14)	1245131902498633481	0 2 48 50 90 92 126 128 300 302 330 332 336 338	216905382810
SPT(16)	1245132267942451271	0 18 50 60 92 102 122 126 182 186 206 216 248 258 290 308	582349200600
STPT(10)	1245132869358517619	0 2 18 20 30 32 42 44 60 62	1183765266948
SPT(16)	1245132987139871183	0 6 14 78 158 194 230 236 288 294 330 366 446 510 518 524	1301546620512