Prime p₀= 1201779296352925427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 10 2 76 2 28 2 28 2 40 2 (?)
a_n: 0 2 132 134 144 146 222 224 252 254 282 284 324 326
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: 326
Found by: xii5ku
db: batch=77, k=14, 130 10 76 28 28 40

SPT(16)	1201777203074633531	0 8 20 26 38 42 62 78 110 126 146 150 162 168 180 188	-2093278291896
STPT(10)	1201777357441299017	0 2 30 32 42 44 54 56 84 86	-1938911626410
STPT(10)	1201777594057974119	0 2 42 44 90 92 138 140 180 182	-1702294951308
SPT(16)	1201777604943880747	0 6 16 94 126 136 160 226 354 420 444 454 486 564 574 580	-1691409044680
SPT(16)	1201778251182379483	0 28 46 60 70 84 88 106 138 156 160 174 184 198 216 244	-1045170545944
SPT(16)	1201778402999080199	0 24 42 44 54 60 80 122 132 174 194 200 210 212 230 254	-893353845228
SPT(16)	1201779494576196611	0 56 96 162 182 186 236 272 300 336 386 390 410 476 516 572	198223271184
SPT(16)	1201779622370173547	0 60 86 122 126 152 180 204 242 266 294 320 324 360 386 446	326017248120
SPT(16)	1201780048496611669	0 12 28 82 88 108 192 220 222 250 334 354 360 414 430 442	752143686242
TPT(14)	1201780061433162161	0 2 96 98 186 188 198 200 210 212 276 278 348 350	765080236734
SPT(16)	1201780085090623321	0 12 30 96 100 142 148 166 402 420 426 468 472 538 556 568	788737697894