Prime p₀= 1137772482402450281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 40 2 16 2 22 2 34 2 (?)
a_n: 0 2 90 92 126 128 168 170 186 188 210 212 246 248
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: 248
Found by: stoneageman
db: batch=76, k=14, 88 34 40 16 22 34

SPT(16)	1137771722920448921	0 8 12 30 42 68 92 110 120 138 162 188 200 218 222 230	-759482001360
STPT(10)	1137771801030454691	0 2 6 8 48 50 90 92 96 98	-681371995590
SPT(16)	1137771820999668641	0 2 72 90 132 138 176 180 248 252 290 296 338 356 426 428	-661402781640
SPT(16)	1137771832986952027	0 22 40 54 120 154 184 196 210 222 252 286 352 366 384 406	-649415498254
SPT(16)	1137771908974851401	0 20 26 42 128 140 170 182 186 198 228 240 326 342 348 368	-573427598880
SPT(16)	1137772365815895773	0 6 8 20 78 96 120 140 174 194 218 236 294 306 308 314	-116586554508
SPT(16)	1137772503888743851	0 30 36 58 108 130 148 150 238 240 258 280 330 352 358 388	21486293570
SPT(13)	1137773024044703329	0 12 30 78 90 180 210 240 330 342 390 408 420	541642253048
SPT(16)	1137773161764557543	0 30 128 156 158 170 200 284 330 414 444 456 458 486 584 614	679362107262
STPT(10)	1137773544136429157	0 2 12 14 42 44 72 74 84 86	1061733978876
SPT(16)	1137773566373141041	0 12 70 88 112 130 168 178 222 232 270 288 312 330 388 400	1083970690760