Prime p₀= 2675667938686032137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 196 2 58 2 40 2 4 2 82 2 (?)
a_n: 0 2 24 26 222 224 282 284 324 326 330 332 414 416
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: 416
Found by: [SG-FC] hl
db: batch=82, k=14, 22 196 58 40 4 82

SPT(16)	2675666385977248759	0 28 34 54 138 148 154 174 244 264 270 280 364 384 390 418	-1552708783378
SPT(16)	2675667159597206023	0 100 126 130 138 148 174 210 244 280 306 316 324 328 354 454	-779088826114
SPT(16)	2675667298377220111	0 6 28 66 72 76 82 90 118 126 132 136 142 180 202 208	-640308812026
SPT(16)	2675667503455699639	0 22 78 120 210 234 250 292 330 372 388 412 502 544 600 622	-435230332498
SPT(16)	2675667798735470159	0 12 14 20 90 92 102 108 134 140 150 152 222 228 230 242	-139950561978
STPT(10)	2675667869187769787	0 2 60 62 102 104 144 146 204 206	-69498262350
SPT(16)	2675668097523990391	0 28 60 148 162 228 232 238 240 246 250 316 330 418 450 478	158837958254
STPT(10)	2675668587925297631	0 2 6 8 18 20 30 32 36 38	649239265494
STPT(10)	2675668936858828319	0 2 48 50 90 92 132 134 180 182	998172796182
TPT(14)	2675668978717372271	0 2 30 32 96 98 228 230 366 368 438 440 450 452	1040031340134
STPT(10)	2675669286962436431	0 2 6 8 18 20 30 32 36 38	1348276404294