Prime p₀= 1281096011395932461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 118 2 166 2 16 2 10 2 10 2 (?)
a_n: 0 2 90 92 210 212 378 380 396 398 408 410 420 422
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: 422
Found by: HenkM
db: batch=77, k=14, 88 118 166 16 10 10

SPT(16)	1281094051767488617	0 84 112 120 126 142 150 154 192 196 204 220 226 234 262 346	-1959628443844
STPT(10)	1281094573951578719	0 2 48 50 90 92 132 134 180 182	-1437444353742
SPT(16)	1281095122831766771	0 26 36 42 50 60 72 92 96 116 128 138 146 152 162 188	-888564165690
SPT(16)	1281095597158518751	0 18 22 30 60 88 108 136 162 190 210 238 268 276 280 298	-414237413710
STPT(10)	1281095837297998661	0 2 30 32 60 62 90 92 120 122	-174097933800
STPT(10)	1281095959170038327	0 2 30 32 42 44 54 56 84 86	-52225894134
SPT(16)	1281096102268188529	0 4 22 30 100 102 114 154 240 280 292 294 364 372 390 394	90872256068
TPT(14)	1281096161053392317	0 2 30 32 174 176 240 242 252 254 282 284 390 392	149657459856
SPT(18)	1281096417995283607	0 6 16 90 124 156 186 190 196 300 306 310 340 372 406 480 490 496	406599351146
SPT(16)	1281096701532351367	0 34 42 46 70 82 96 112 114 130 144 156 180 184 192 226	690136418906
STPT(10)	1281096740996649257	0 2 90 92 102 104 114 116 204 206	729600716796