Prime p₀= 2760760334478105341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 130 2 10 2 34 2 280 2 10 2 (?)
a_n: 0 2 126 128 258 260 270 272 306 308 588 590 600 602
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: 602
Found by: JayPi
db: batch=82, k=14, 124 130 10 34 280 10

STPT(10)	2760758863569263699	0 2 18 20 30 32 42 44 60 62	-1470908841642
SPT(16)	2760758929011600133	0 40 58 96 114 130 136 166 168 198 204 220 238 276 294 334	-1405466505208
SPT(16)	2760758988042977743	0 28 40 54 70 94 108 180 304 376 390 414 430 444 456 484	-1346435127598
STPT(10)	2760759437584851839	0 2 42 44 90 92 138 140 180 182	-896893253502
SPT(16)	2760759574359087383	0 14 18 78 84 104 140 150 218 228 264 284 290 350 354 368	-760119017958
STPT(10)	2760760199057223149	0 2 48 50 90 92 132 134 180 182	-135420882192
STPT(10)	2760760352118835271	0 2 6 8 18 20 30 32 36 38	17640729930
SPT(16)	2760760472287796899	0 12 64 70 88 114 172 180 232 240 298 324 342 348 400 412	137809691558
SPT(16)	2760760516425522491	0 18 72 80 132 152 242 266 282 306 396 416 468 476 530 548	181947417150
STPT(10)	2760761101333042151	0 2 36 38 78 80 120 122 156 158	766854936810
SPT(16)	2760761275388954039	0 2 48 54 90 152 164 170 192 198 210 272 308 314 360 362	940910848698