Prime p₀= 2863005031318288229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 70 2 4 2 28 2 28 2 10 2 (?)
a_n: 0 2 90 92 162 164 168 170 198 200 228 230 240 242
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: 242
Found by: JayPi
db: batch=82, k=14, 88 70 4 28 28 10

SPT(16)	2863003080787046017	0 34 60 100 120 130 132 156 160 184 186 196 216 256 282 316	-1950531242212
STPT(10)	2863003797754919681	0 2 36 38 78 80 120 122 156 158	-1233563368548
SPT(16)	2863003847156085307	0 12 36 100 136 232 240 250 276 286 294 390 426 490 514 526	-1184162202922
SPT(16)	2863004069195364463	0 36 78 96 106 154 166 220 234 288 300 348 358 376 418 454	-962122923766
STPT(10)	2863004299992225707	0 2 84 86 132 134 180 182 264 266	-731326062522
SPT(16)	2863004785918531957	0 24 30 66 106 114 184 196 240 252 322 330 370 406 412 436	-245399756272
STPT(10)	2863005824991146501	0 2 6 8 18 20 30 32 36 38	793672858272
SPT(16)	2863006323586229563	0 30 66 78 88 106 130 136 198 204 228 246 256 268 304 334	1292267941334
SPT(16)	2863006444275262339	0 10 18 82 84 124 172 178 264 270 318 358 360 424 432 442	1412956974110
STPT(10)	2863006621829183651	0 2 6 8 48 50 90 92 96 98	1590510895422
SPT(16)	2863006633302243683	0 24 38 50 54 120 138 146 168 176 194 260 264 276 290 314	1601983955454