Prime p₀= 1086295967156617157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 34 2 112 2 46 2 (?)
a_n: 0 2 24 26 42 44 54 56 90 92 204 206 252 254
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: 254
Found by: [SG-FC] hl
db: batch=76, k=14, 22 16 10 34 112 46

SPT(16)	1086294656173531271	0 32 42 120 132 146 162 176 216 230 246 260 272 350 360 392	-1310983085886
SPT(16)	1086294670054254743	0 20 110 120 146 158 186 194 210 218 246 258 284 294 384 404	-1297102362414
TPT(14)	1086295171120472771	0 2 78 80 96 98 108 110 168 170 258 260 306 308	-796036144386
SPT(16)	1086295296987446719	0 4 24 54 94 118 144 162 220 238 264 288 328 358 378 382	-670169170438
STPT(10)	1086295531668410879	0 2 12 14 30 32 48 50 60 62	-435488206278
TPT(14)	1086295779721228397	0 2 60 62 144 146 180 182 252 254 294 296 312 314	-187435388760
SPT(16)	1086296138446187651	0 6 20 50 86 176 210 306 332 428 462 552 588 618 632 638	171289570494
STPT(10)	1086296224203090959	0 2 42 44 60 62 78 80 120 122	257046473802
SPT(16)	1086296253855578609	0 18 54 62 68 72 114 132 140 158 200 204 210 218 254 272	286698961452
TPT(14)	1086296413542026177	0 2 30 32 54 56 210 212 234 236 330 332 372 374	446385409020
SPT(16)	1086296425062254269	0 22 40 48 84 100 118 160 162 204 222 238 274 282 300 322	457905637112