Prime p₀= 1135002715966450631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 106 2 148 2 40 2 58 2 40 2 (?)
a_n: 0 2 18 20 126 128 276 278 318 320 378 380 420 422
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: stoneageman
db: batch=76, k=14, 16 106 148 40 58 40

SPT(16)	1135000833935776279	0 42 114 118 154 174 192 198 304 310 328 348 384 388 460 502	-1882030674352
SPT(16)	1135000903622979923	0 48 60 84 90 110 176 188 216 228 294 314 320 344 356 404	-1812343470708
SPT(16)	1135001304351469091	0 18 20 26 50 60 62 78 80 96 98 108 132 138 140 158	-1411614981540
STPT(10)	1135001733940683779	0 2 42 44 60 62 78 80 120 122	-982025766852
SPT(16)	1135001812261322879	0 42 80 102 152 170 200 212 222 234 264 282 332 354 392 434	-903705127752
STPT(10)	1135001920466820587	0 2 24 26 42 44 60 62 84 86	-795499630044
TPT(14)	1135003038788916467	0 2 84 86 102 104 120 122 162 164 252 254 300 302	322822465836
STPT(10)	1135003620741263237	0 2 30 32 42 44 54 56 84 86	904774812606
STPT(10)	1135003943862816227	0 2 54 56 72 74 90 92 144 146	1227896365596
STPT(12)	1135004880830288969	0 2 42 44 90 92 132 134 180 182 222 224	2164863838338
SPT(16)	1135004982748954511	0 8 50 60 68 98 108 110 150 152 162 192 200 210 252 260	2266782503880