Prime p₀= 2123548995766148831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 40 2 88 2 94 2 22 2 (?)
a_n: 0 2 60 62 138 140 180 182 270 272 366 368 390 392
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: 392
Found by: Dingo
db: batch=80, k=14, 58 76 40 88 94 22

STPT(12)	2123548009497727907	0 2 54 56 84 86 120 122 150 152 204 206	-986268420924
SPT(16)	2123548145602066649	0 12 30 72 102 140 174 188 264 278 312 350 380 422 440 452	-850164082182
SPT(16)	2123548271930770903	0 36 60 70 78 106 136 148 168 180 210 238 246 256 280 316	-723835377928
STPT(10)	2123548369936954559	0 2 18 20 30 32 42 44 60 62	-625829194272
SPT(16)	2123548387066676359	0 40 60 108 130 144 234 240 292 298 388 402 424 472 492 532	-608699472472
SPT(16)	2123548658596578043	0 36 54 78 136 150 168 204 250 286 304 318 376 400 418 454	-337169570788
STPT(10)	2123550068992390859	0 2 72 74 120 122 168 170 240 242	1073226242028
STPT(10)	2123550134430053237	0 2 30 32 42 44 54 56 84 86	1138663904406
SPT(16)	2123550272155434487	0 16 22 40 66 70 100 106 186 192 222 226 252 270 276 292	1276389285656
TPT(14)	2123550341702292287	0 2 12 14 30 32 72 74 114 116 222 224 234 236	1345936143456
STPT(10)	2123550390010678619	0 2 48 50 90 92 132 134 180 182	1394244529788