Prime p₀= 1010178453680102669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 100 2 40 2 94 2 28 2 10 2 (?)
a_n: 0 2 138 140 240 242 282 284 378 380 408 410 420 422
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: 422
Found by: Spectrum
db: batch=76, k=14, 136 100 40 94 28 10

STPT(10)	1010177648760949787	0 2 24 26 42 44 60 62 84 86	-804919152882
SPT(16)	1010177675040525913	0 10 18 48 126 150 180 220 294 334 364 388 466 496 504 514	-778639576756
SPT(16)	1010177888172069167	0 12 24 36 42 50 146 152 174 180 276 284 290 302 314 326	-565508033502
STPT(10)	1010177891124096377	0 2 12 14 72 74 132 134 144 146	-562556006292
SPT(16)	1010178268006675813	0 6 16 64 90 100 126 160 234 268 294 304 330 378 388 394	-185673426856
SPT(16)	1010178289604530883	0 6 50 56 68 90 128 158 198 228 266 288 300 306 350 356	-164075571786
TPT(14)	1010178552139685417	0 2 84 86 150 152 222 224 240 242 264 266 360 362	98459582748
SPT(16)	1010178761361254227	0 22 40 64 66 70 106 150 166 210 246 250 252 276 294 316	307681151558
SPT(16)	1010178767857166857	0 4 34 54 112 136 196 202 264 270 330 354 412 432 462 466	314177064188
STPT(12)	1010179188799035161	0 2 30 32 90 92 96 98 156 158 186 188	735118932492
SPT(16)	1010179478153084957	0 2 12 54 92 126 144 156 200 212 230 264 302 344 354 356	1024472982288