Prime p₀= 2534330002984789781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 28 2 4 2 40 2 16 2 (?)
a_n: 0 2 30 32 90 92 120 122 126 128 168 170 186 188
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: 188
Found by: JayPi
db: batch=82, k=14, 28 58 28 4 40 16

SPT(16)	2534328806642084251	0 18 42 72 88 130 142 172 186 216 228 270 286 316 340 358	-1196342705530
STPT(10)	2534329109282424869	0 2 18 20 30 32 42 44 60 62	-893702364912
SPT(16)	2534329139361842533	0 118 138 148 174 204 208 244 300 336 340 370 396 406 426 544	-863622947248
SPT(16)	2534329212710067491	0 32 56 78 98 102 158 180 188 210 266 270 290 312 336 368	-790274722290
SPT(16)	2534329812877020947	0 12 20 42 50 54 84 120 206 242 272 276 284 306 314 326	-190107768834
SPT(16)	2534329942388700341	0 8 18 36 56 68 86 140 156 210 228 240 260 278 288 296	-60596089440
SPT(16)	2534330055328806499	0 18 34 48 90 120 168 190 252 274 322 352 394 408 424 442	52344016718
STPT(10)	2534330404960332029	0 2 18 20 60 62 102 104 120 122	401975542248
TPT(14)	2534330831113054679	0 2 30 32 138 140 198 200 210 212 318 320 402 404	828128264898
STPT(10)	2534331314849779271	0 2 30 32 78 80 126 128 156 158	1311864989490
STPT(10)	2534331328310610779	0 2 18 20 30 32 42 44 60 62	1325325820998