Prime p₀= 1246934868643748441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 52 2 58 2 106 2 88 2 10 2 (?)
a_n: 0 2 66 68 120 122 180 182 288 290 378 380 390 392
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: 392
Found by: emoga
db: batch=77, k=14, 64 52 58 106 88 10

TPT(14)	1246933453932612377	0 2 24 26 42 44 120 122 180 182 192 194 204 206	-1414711136064
STPT(10)	1246933574077834829	0 2 18 20 30 32 42 44 60 62	-1294565913612
TPT(14)	1246933887332624639	0 2 78 80 120 122 150 152 192 194 210 212 288 290	-981311123802
SPT(16)	1246933982199211949	0 2 30 44 48 128 170 210 242 282 324 404 408 422 450 452	-886444536492
SPT(16)	1246934633988510773	0 66 98 116 126 138 158 168 206 216 236 248 258 276 308 374	-234655237668
SPT(16)	1246934773211259131	0 30 48 62 86 152 182 192 296 306 336 402 426 440 458 488	-95432489310
SPT(16)	1246934885475918377	0 14 116 120 162 176 182 204 302 324 330 344 386 390 492 506	16832169936
STPT(10)	1246934986084829099	0 2 42 44 60 62 78 80 120 122	117441080658
SPT(16)	1246935199630113859	0 48 94 130 150 258 264 270 328 334 340 448 468 504 550 598	330986365418
STPT(12)	1246935343139887811	0 2 48 50 90 92 126 128 168 170 216 218	474496139370
STPT(10)	1246935566150394047	0 2 42 44 72 74 102 104 144 146	697506645606