Prime p₀= 2569992123301726007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 76 2 70 2 16 2 (?)
a_n: 0 2 24 26 54 56 84 86 162 164 234 236 252 254
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: JayPi
db: batch=82, k=14, 22 28 28 76 70 16

TPT(14)	2569991040614243711	0 2 36 38 78 80 126 128 150 152 210 212 216 218	-1082687482296
SPT(16)	2569991068252750979	0 14 20 74 78 92 102 182 300 380 390 404 408 462 468 482	-1055048975028
SPT(16)	2569991283118338019	0 42 114 180 184 222 232 250 264 282 292 330 334 400 472 514	-840183387988
SPT(16)	2569991337349497151	0 6 12 112 156 186 220 228 250 258 292 322 366 466 472 478	-785952228856
STPT(10)	2569991648775721169	0 2 18 20 30 32 42 44 60 62	-474526004838
TPT(14)	2569991885124505109	0 2 30 32 78 80 102 104 132 134 162 164 168 170	-238177220898
SPT(16)	2569992200259987289	0 24 28 30 42 78 90 112 120 142 154 190 202 204 208 232	76958261282
SPT(16)	2569992803542533953	0 8 20 26 78 84 96 110 114 128 140 146 198 204 216 224	680240807946
STPT(10)	2569992821331372077	0 2 42 44 132 134 222 224 264 266	698029646070
STPT(10)	2569992880036876961	0 2 6 8 18 20 30 32 36 38	756735150954
STPT(12)	2569993049086846919	0 2 18 20 42 44 48 50 72 74 90 92	925785120912