Prime p₀= 2759728099766567309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 40 2 106 2 28 2 22 2 (?)
a_n: 0 2 42 44 48 50 90 92 198 200 228 230 252 254
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: JayPi
db: batch=82, k=14, 40 4 40 106 28 22

STPT(10)	2759726898293317619	0 2 42 44 60 62 78 80 120 122	-1201473249690
SPT(16)	2759727035877402289	0 10 34 40 48 88 90 168 184 262 264 304 312 318 342 352	-1063889165020
STPT(10)	2759727254810775419	0 2 18 20 30 32 42 44 60 62	-844955791890
SPT(16)	2759727493594558031	0 62 86 90 122 128 146 188 210 252 270 276 308 312 336 398	-606172009278
SPT(16)	2759727654349115063	0 8 20 38 66 98 108 138 176 206 216 248 276 294 306 314	-445417452246
SPT(16)	2759727742349796461	0 18 20 26 48 162 200 210 278 288 326 440 462 468 470 488	-357416770848
STPT(10)	2759728473553615379	0 2 12 14 30 32 48 50 60 62	373787048070
SPT(16)	2759728587271525481	0 2 6 8 30 78 98 108 110 120 140 188 210 212 216 218	487504958172
SPT(16)	2759729111537421767	0 2 60 80 102 132 146 150 182 186 200 230 252 272 330 332	1011770854458
SPT(16)	2759729231881982299	0 4 18 58 60 78 84 90 142 148 154 172 174 214 228 232	1132115414990
STPT(10)	2759729450821233431	0 2 30 32 78 80 126 128 156 158	1351054666122