Prime p₀= 869070897838151807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 82 2 4 2 82 2 64 2 40 2 (?)
a_n: 0 2 120 122 204 206 210 212 294 296 360 362 402 404
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: 404
Found by: zzuupp
db: batch=73, k=14, 118 82 4 82 64 40

STPT(10)	869070525168347807	0 2 30 32 42 44 54 56 84 86	-372669804000
STPT(10)	869070567855005639	0 2 12 14 30 32 48 50 60 62	-329983146168
SPT(16)	869070571213939571	0 8 36 42 66 78 80 96 122 138 140 152 176 182 210 218	-326624212236
STPT(10)	869070571258994519	0 2 18 20 30 32 42 44 60 62	-326579157288
STPT(10)	869070613917149561	0 2 30 32 78 80 126 128 156 158	-283921002246
SPT(16)	869070874177175983	0 10 66 96 118 124 126 150 154 178 180 186 208 238 294 304	-23660975824
SPT(16)	869071321814421709	0 40 48 90 120 154 174 228 274 328 348 382 412 454 462 502	423976269902
STPT(10)	869071401606902321	0 2 36 38 78 80 120 122 156 158	503768750514
STPT(10)	869071775191873217	0 2 30 32 42 44 54 56 84 86	877353721410
SPT(16)	869072330890696531	0 42 46 48 70 100 148 162 166 180 228 258 280 282 286 328	1433052544724
SPT(16)	869073133215620737	0 22 24 60 82 94 112 130 144 162 180 192 214 250 252 274	2235377468930