Prime p₀= 1089896241420251891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 10 2 148 2 88 2 94 2 22 2 (?)
a_n: 0 2 138 140 150 152 300 302 390 392 486 488 510 512
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: 512
Found by: UBT - Timbo
db: batch=76, k=14, 136 10 148 88 94 22

SPT(16)	1089895152652329533	0 6 20 30 80 96 98 110 144 156 158 174 224 234 248 254	-1088767922358
TPT(14)	1089895312316118179	0 2 180 182 210 212 390 392 408 410 438 440 450 452	-929104133712
SPT(16)	1089895542788972977	0 24 30 36 46 70 94 106 150 162 186 210 220 226 232 256	-698631278914
SPT(16)	1089895653877926317	0 56 120 122 140 186 200 234 242 276 290 336 354 356 420 476	-587542325574
SPT(16)	1089895842574061713	0 46 58 78 114 124 130 136 198 204 210 220 256 276 288 334	-398846190178
SPT(16)	1089896155876499077	0 10 30 40 72 100 106 130 162 186 192 220 252 262 282 292	-85543752814
SPT(16)	1089896317415871523	0 28 34 84 88 90 120 160 258 298 328 330 334 384 390 418	75995619632
STPT(10)	1089896376134901617	0 2 42 44 72 74 102 104 144 146	134714649726
SPT(16)	1089896546192620429	0 28 42 54 60 84 154 174 238 258 328 352 358 370 384 412	304772368538
STPT(10)	1089896918574140429	0 2 18 20 30 32 42 44 60 62	677153888538
SPT(16)	1089897118293155603	0 30 44 68 90 186 194 216 278 300 308 404 426 450 464 494	876872903712