Prime p₀= 2627250750794989931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 10 2 28 2 16 2 10 2 (?)
a_n: 0 2 6 8 66 68 78 80 108 110 126 128 138 140
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: 140
Found by: JayPi
db: batch=82, k=14, 4 58 10 28 16 10

TPT(14)	2627248503590084189	0 2 30 32 48 50 90 92 102 104 132 134 168 170	-2247204905742
STPT(10)	2627248681272024611	0 2 6 8 48 50 90 92 96 98	-2069522965320
STPT(10)	2627248721658106361	0 2 6 8 48 50 90 92 96 98	-2029136883570
SPT(16)	2627249535228553129	0 34 52 58 94 102 108 112 240 244 250 258 294 300 318 352	-1215566436802
SPT(16)	2627249925699059873	0 36 98 104 116 164 186 216 428 458 480 528 540 546 608 644	-825095930058
SPT(16)	2627249984803050221	0 20 32 38 72 102 116 146 192 222 236 266 300 306 318 338	-765991939710
SPT(16)	2627251116630415909	0 30 40 90 102 124 138 160 252 274 288 310 322 372 382 412	365835425978
STPT(10)	2627251442713246157	0 2 30 32 42 44 54 56 84 86	691918256226
SPT(16)	2627251758662276653	0 10 36 46 48 70 90 150 274 334 354 376 378 388 414 424	1007867286722
TPT(14)	2627251791486847559	0 2 60 62 108 110 150 152 180 182 210 212 222 224	1040691857628
TPT(14)	2627251805246339657	0 2 12 14 42 44 72 74 84 86 192 194 204 206	1054451349726