Prime p₀= 2579424210238099907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 28 2 10 2 28 2 4 2 (?)
a_n: 0 2 12 14 102 104 132 134 144 146 174 176 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 10 88 28 10 28 4

SPT(16)	2579422152790898539	0 42 54 78 82 88 94 112 120 138 144 150 154 178 190 232	-2057447201368
TPT(14)	2579422163429872259	0 2 30 32 48 50 90 92 198 200 420 422 438 440	-2046808227648
SPT(16)	2579422497246460891	0 22 28 42 60 82 88 172 198 282 288 310 328 342 348 370	-1712991639016
STPT(10)	2579422550475827657	0 2 12 14 42 44 72 74 84 86	-1659762272250
SPT(16)	2579422875489328993	0 4 28 46 108 124 126 150 154 178 180 196 258 276 300 304	-1334748770914
SPT(16)	2579423402449178657	0 42 86 152 164 254 264 302 324 362 372 462 474 540 584 626	-807788921250
SPT(16)	2579424318067351787	0 2 92 120 126 156 186 200 222 236 266 296 302 330 420 422	107829251880
SPT(16)	2579424454458835703	0 14 26 54 56 80 110 114 140 144 174 198 200 228 240 254	244220735796
SPT(16)	2579424509960364379	0 42 78 132 162 190 192 252 328 388 390 418 448 502 538 580	299722264472
STPT(10)	2579424535750637051	0 2 36 38 78 80 120 122 156 158	325512537144
STPT(10)	2579425203412466711	0 2 30 32 78 80 126 128 156 158	993174366804