Prime p₀= 2767417905096555101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 16 2 22 2 124 2 88 2 (?)
a_n: 0 2 30 32 138 140 156 158 180 182 306 308 396 398
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: 398
Found by: JayPi
db: batch=82, k=14, 28 106 16 22 124 88

STPT(10)	2767416726288948827	0 2 30 32 60 62 90 92 120 122	-1178807606274
SPT(16)	2767416800035176761	0 2 20 26 62 68 90 108 110 128 150 156 192 198 216 218	-1105061378340
SPT(16)	2767417093902476923	0 124 208 228 234 238 250 306 328 384 396 400 406 426 510 634	-811194078178
SPT(16)	2767417257658596167	0 6 14 44 72 80 86 114 182 210 216 224 252 282 290 296	-647437958934
SPT(16)	2767417280399914931	0 6 8 12 26 38 62 66 122 126 150 162 176 180 182 188	-624696640170
SPT(16)	2767417319912461907	0 14 60 92 122 126 144 150 236 242 260 264 294 326 372 386	-585184093194
STPT(10)	2767417971239412761	0 2 6 8 48 50 90 92 96 98	66142857660
SPT(16)	2767418089326803909	0 8 62 72 78 152 170 182 210 222 240 314 320 330 384 392	184230248808
STPT(12)	2767418393929295549	0 2 18 20 42 44 78 80 102 104 120 122	488832740448
SPT(16)	2767418505298400519	0 12 48 132 168 194 200 224 228 252 258 284 320 404 440 452	600201845418
STPT(10)	2767419600256157447	0 2 30 32 42 44 54 56 84 86	1695159602346