Prime p₀= 1174378686458667869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 40 2 88 2 76 2 88 2 (?)
a_n: 0 2 12 14 48 50 90 92 180 182 258 260 348 350
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: 350
Found by: stoneageman
db: batch=77, k=14, 10 34 40 88 76 88

SPT(16)	1174376677953249403	0 10 48 58 64 124 150 154 204 208 234 294 300 310 348 358	-2008505418466
SPT(16)	1174376822947476487	0 76 94 100 126 136 180 184 342 346 390 400 426 432 450 526	-1863511191382
SPT(16)	1174377046040920349	0 18 38 104 180 192 218 224 228 234 260 272 348 414 434 452	-1640417747520
TPT(14)	1174377180805433177	0 2 24 26 42 44 102 104 144 146 150 152 222 224	-1505653234692
SPT(16)	1174377203501597059	0 4 40 82 142 144 174 184 240 250 280 282 342 384 420 424	-1482957070810
SPT(16)	1174378663153920619	0 30 58 72 120 160 178 204 238 264 282 322 370 384 412 442	-23304747250
STPT(10)	1174378722371281151	0 2 6 8 48 50 90 92 96 98	35912613282
SPT(16)	1174379060765622529	0 28 42 70 102 112 142 154 168 180 210 220 252 280 294 322	374306954660
TPT(14)	1174379277597433799	0 2 12 14 90 92 108 110 138 140 192 194 258 260	591138765930
STPT(10)	1174379335002623117	0 2 30 32 42 44 54 56 84 86	648543955248
SPT(16)	1174379457065150593	0 4 36 46 60 64 130 160 174 204 270 274 288 298 330 334	770606482724