Prime p₀= 810151701487808129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 82 2 106 2 28 2 28 2 10 2 (?)
a_n: 0 2 48 50 132 134 240 242 270 272 300 302 312 314
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: 314
Found by: schoussi
db: batch=73, k=14, 46 82 106 28 28 10

SPT(16)	810150458068114519	0 12 28 108 160 214 222 228 244 250 258 312 364 444 460 472	-1243419693610
STPT(10)	810150926015501657	0 2 30 32 72 74 114 116 144 146	-775472306472
SPT(16)	810151177794645487	0 10 22 34 36 84 120 136 180 196 232 280 282 294 306 316	-523693162642
SPT(16)	810151340487597727	0 16 24 64 66 76 160 394 462 696 780 790 792 832 840 856	-361000210402
SPT(16)	810151370426346167	0 6 32 42 50 102 116 120 146 150 164 216 224 234 260 266	-331061461962
SPT(16)	810151647777597049	0 22 78 88 172 322 418 430 432 444 540 690 774 784 840 862	-53710211080
STPT(10)	810151875610303229	0 2 48 50 90 92 132 134 180 182	174122495100
TPT(14)	810152001671817071	0 2 120 122 126 128 150 152 156 158 168 170 390 392	300184008942
STPT(10)	810152029156573457	0 2 54 56 72 74 90 92 144 146	327668765328
STPT(10)	810152053555091477	0 2 24 26 42 44 60 62 84 86	352067283348
SPT(16)	810152071822967371	0 16 18 40 60 72 78 102 106 130 136 148 168 190 192 208	370335159242