Prime p₀= 957103737620708651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 28 2 10 2 4 2 22 2 (?)
a_n: 0 2 30 32 108 110 138 140 150 152 156 158 180 182
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: 182
Found by: stoneageman
db: batch=76, k=14, 28 76 28 10 4 22

SPT(16)	957101904043826797	0 6 60 76 114 130 132 180 286 334 336 352 390 406 460 466	-1833576881854
SPT(16)	957101923335469739	0 20 32 60 62 92 218 242 258 282 408 438 440 468 480 500	-1814285238912
STPT(10)	957102006765837599	0 2 18 20 60 62 102 104 120 122	-1730854871052
TPT(14)	957102215416249919	0 2 162 164 168 170 198 200 210 212 240 242 252 254	-1522204458732
SPT(18)	957102604669023541	0 10 40 46 78 126 148 166 172 186 192 210 232 280 312 318 348 358	-1132951685110
STPT(10)	957103209563126831	0 2 6 8 18 20 30 32 36 38	-528057581820
SPT(16)	957103762861940917	0 10 16 54 82 84 100 112 114 126 142 144 172 210 216 226	25241232266
STPT(10)	957103952014013849	0 2 12 14 90 92 168 170 180 182	214393305198
SPT(16)	957104008416975511	0 10 16 28 30 46 60 78 130 148 162 178 180 192 198 208	270796266860
STPT(10)	957104362604276987	0 2 60 62 72 74 84 86 144 146	624983568336
TPT(14)	957104408476809977	0 2 114 116 150 152 234 236 282 284 360 362 462 464	670856101326