Prime p₀= 1056017770296238331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 118 2 10 2 76 2 100 2 10 2 (?)
a_n: 0 2 36 38 156 158 168 170 246 248 348 350 360 362
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: 362
Found by: stoneageman
db: batch=76, k=14, 34 118 10 76 100 10

SPT(13)	1056016304337486341	0 12 78 90 108 132 150 168 192 210 222 288 300	-1465958751990
SPT(16)	1056016343048457283	0 16 34 48 58 76 78 84 100 106 108 126 136 150 168 184	-1427247781048
SPT(16)	1056016511476896703	0 60 84 90 96 108 118 126 178 186 196 208 214 220 244 304	-1258819341628
TPT(14)	1056016891120714727	0 2 12 14 24 26 84 86 150 152 204 206 402 404	-879175523604
SPT(16)	1056017054554588241	0 56 78 92 108 122 140 192 206 258 276 290 306 320 342 398	-715741650090
STPT(10)	1056017571676885817	0 2 24 26 42 44 60 62 84 86	-198619352514
STPT(10)	1056017872632831077	0 2 12 14 72 74 132 134 144 146	102336592746
STPT(10)	1056017923997741531	0 2 30 32 78 80 126 128 156 158	153701503200
TPT(14)	1056018653177855957	0 2 30 32 102 104 210 212 324 326 384 386 462 464	882881617626
STPT(10)	1056018884454523679	0 2 18 20 30 32 42 44 60 62	1114158285348
SPT(16)	1056018980870854621	0 10 12 46 52 150 186 192 280 286 322 420 426 460 462 472	1210574616290