Prime p₀= 1179776210899926359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 58 2 124 2 22 2 (?)
a_n: 0 2 12 14 30 32 42 44 102 104 228 230 252 254
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: 254
Found by: xii5ku
db: batch=77, k=14, 10 16 10 58 124 22

SPT(16)	1179775514030303111	0 32 38 62 96 110 176 180 188 192 258 272 306 330 336 368	-696869623248
SPT(16)	1179775536084897671	0 12 38 66 138 140 162 182 216 236 258 260 332 360 386 398	-674815028688
TPT(14)	1179775558342942157	0 2 60 62 132 134 252 254 330 332 354 356 414 416	-652556984202
SPT(16)	1179775605359172281	0 32 122 152 168 210 228 260 318 350 368 410 426 456 546 578	-605540754078
STPT(10)	1179775677891984791	0 2 36 38 78 80 120 122 156 158	-533007941568
SPT(16)	1179775912679964713	0 14 44 80 84 98 110 120 128 138 150 164 168 204 234 248	-298219961646
SPT(16)	1179776375393587471	0 10 12 16 40 82 90 100 108 118 126 168 192 196 198 208	164493661112
SPT(16)	1179776819920860841	0 12 82 88 180 232 238 252 358 372 378 430 522 528 598 610	609020934482
TPT(14)	1179776905231814507	0 2 60 62 90 92 120 122 252 254 294 296 312 314	694331888148
SPT(16)	1179776934159891499	0 90 120 130 154 180 190 274 318 402 412 438 462 472 502 592	723259965140
TPT(14)	1179776965296567719	0 2 42 44 48 50 72 74 132 134 198 200 252 254	754396641360