Prime p₀= 966433483422744737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 130 2 28 2 4 2 10 2 (?)
a_n: 0 2 54 56 72 74 204 206 234 236 240 242 252 254
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: HenkM
db: batch=76, k=14, 52 16 130 28 4 10

STPT(10)	966432723332574779	0 2 138 140 180 182 222 224 360 362	-760090169958
STPT(10)	966432829995533627	0 2 24 26 42 44 60 62 84 86	-653427211110
SPT(16)	966432940779235781	0 8 42 60 78 90 108 132 236 260 278 290 308 326 360 368	-542643508956
SPT(16)	966432964490475149	0 38 50 62 98 122 128 132 170 174 180 204 240 252 264 302	-518932269588
SPT(16)	966433299600145841	0 60 80 102 116 140 146 150 158 162 168 192 206 228 248 308	-183822598896
TPT(14)	966433345774021919	0 2 78 80 120 122 132 134 138 140 180 182 342 344	-137648722818
TPT(14)	966433653003707879	0 2 12 14 48 50 90 92 132 134 198 200 210 212	169580963142
SPT(16)	966433747321560337	0 4 66 100 112 124 154 282 334 462 492 504 516 550 612 616	263898815600
STPT(10)	966433890052738319	0 2 18 20 60 62 102 104 120 122	406629993582
SPT(16)	966434130780099929	0 24 30 48 72 98 104 134 168 198 204 230 254 272 278 302	647357355192
SPT(16)	966434299211604841	0 18 46 72 78 102 106 148 210 252 256 280 286 312 340 358	815788860104