Prime p₀= 869070085746140657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 124 2 28 2 10 2 40 2 (?)
a_n: 0 2 12 14 84 86 210 212 240 242 252 254 294 296
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: 296
Found by: Rhodan71
db: batch=73, k=14, 10 70 124 28 10 40

STPT(12)	869069198024797571	0 2 48 50 90 92 138 140 180 182 228 230	-887721343086
STPT(12)	869069328193303607	0 2 42 44 60 62 84 86 102 104 144 146	-757552837050
STPT(10)	869069378227291247	0 2 30 32 42 44 54 56 84 86	-707518849410
SPT(16)	869069392365892171	0 18 58 70 72 90 136 156 172 192 238 256 258 270 310 328	-693380248486
SPT(16)	869069627804298763	0 34 58 90 94 96 154 208 276 330 388 390 394 426 450 484	-457941841894
SPT(18)	869069643475426279	0 28 94 118 130 144 150 160 168 214 222 232 238 252 264 288 354 382	-442270714378
SPT(16)	869070492919311239	0 44 72 104 144 152 182 188 264 270 300 308 348 380 408 452	407173170582
STPT(10)	869070525168347807	0 2 30 32 42 44 54 56 84 86	439422207150
STPT(10)	869070567855005639	0 2 12 14 30 32 48 50 60 62	482108864982
SPT(16)	869070571213939571	0 8 36 42 66 78 80 96 122 138 140 152 176 182 210 218	485467798914
STPT(10)	869070571258994519	0 2 18 20 30 32 42 44 60 62	485512853862