Prime p₀= 1087679292289779701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 226 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 78 80 306 308 330 332 336 338 360 362 378 380
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: 380
Found by: mcf2020
db: batch=76, k=14, 76 226 22 4 22 16

TPT(14)	1087678576160925599	0 2 30 32 48 50 90 92 132 134 168 170 270 272	-716128854102
SPT(16)	1087678720316744807	0 20 30 60 66 80 84 86 270 272 276 290 296 326 336 356	-571973034894
SPT(16)	1087678724545514011	0 22 40 52 78 82 88 108 250 270 276 280 306 318 336 358	-567744265690
STPT(10)	1087678785762171479	0 2 30 32 60 62 90 92 120 122	-506527608222
STPT(10)	1087678985615445701	0 2 30 32 78 80 126 128 156 158	-306674334000
STPT(10)	1087679120096068397	0 2 42 44 72 74 102 104 144 146	-172193711304
SPT(16)	1087679372228065777	0 4 10 46 52 54 70 112 114 156 172 174 180 216 222 226	79938286076
SPT(16)	1087679413297825343	0 20 80 84 144 158 164 176 198 210 216 230 290 294 354 374	121008045642
STPT(10)	1087679536613593067	0 2 42 44 72 74 102 104 144 146	244323813366
STPT(12)	1087679748819780539	0 2 78 80 90 92 120 122 132 134 210 212	456530000838
SPT(16)	1087680275197456091	0 30 32 62 92 120 126 132 170 176 182 210 240 270 272 302	982907676390