Prime p₀= 2768741117651619029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 124 2 22 2 4 2 40 2 40 2 (?)
a_n: 0 2 12 14 138 140 162 164 168 170 210 212 252 254
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: RFGuy_KCCO
db: batch=82, k=14, 10 124 22 4 40 40

STPT(10)	2768739831090083909	0 2 42 44 60 62 78 80 120 122	-1286561535120
SPT(16)	2768740400080798349	0 20 104 108 114 120 128 140 162 174 182 188 194 198 282 302	-717570820680
SPT(16)	2768740747866318331	0 12 28 40 42 52 66 96 142 172 186 196 198 210 226 238	-369785300698
STPT(12)	2768740924330326479	0 2 42 44 48 50 72 74 78 80 120 122	-193321292550
SPT(16)	2768741053736554301	0 48 146 192 236 248 252 270 278 296 300 312 356 402 500 548	-63915064728
SPT(16)	2768741089508269937	0 14 20 32 62 66 84 122 144 182 200 204 234 246 252 266	-28143349092
STPT(10)	2768741141658340487	0 2 60 62 72 74 84 86 144 146	24006721458
SPT(16)	2768741283107714227	0 24 46 60 120 132 150 190 216 256 274 286 346 360 382 406	165456095198
SPT(16)	2768741454665442601	0 48 78 100 132 192 220 258 262 300 328 388 420 442 472 520	337013823572
STPT(10)	2768741882055915089	0 2 18 20 60 62 102 104 120 122	764404296060
STPT(10)	2768742052445532587	0 2 30 32 72 74 114 116 144 146	934793913558