Prime p₀= 2688764841472460087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 34 2 70 2 10 2 124 2 (?)
a_n: 0 2 42 44 84 86 120 122 192 194 204 206 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 40 40 34 70 10 124

SPT(16)	2688764364977310647	0 14 42 80 110 132 152 164 210 222 242 264 294 332 360 374	-476495149440
STPT(10)	2688764553339552011	0 2 36 38 78 80 120 122 156 158	-288132908076
SPT(16)	2688764640333409843	0 10 34 46 60 78 84 108 196 220 226 244 258 270 294 304	-201139050244
STPT(10)	2688764680348153607	0 2 30 32 72 74 114 116 144 146	-161124306480
SPT(13)	2688764756226079981	0 36 42 120 132 156 246 336 360 372 450 456 492	-85246380106
STPT(10)	2688764768540652551	0 2 36 38 78 80 120 122 156 158	-72931807536
SPT(16)	2688765116038703437	0 24 42 102 112 126 156 184 192 220 250 264 274 334 352 376	274566243350
STPT(10)	2688765124728892511	0 2 30 32 78 80 126 128 156 158	283256432424
SPT(16)	2688765128111909477	0 30 72 114 182 224 254 264 362 372 402 444 512 554 596 626	286639449390
SPT(16)	2688765133461837949	0 22 84 120 138 148 180 192 310 322 354 364 382 418 480 502	291989377862
SPT(16)	2688765297867404117	0 20 26 66 102 126 146 162 164 180 200 224 260 300 306 326	456394944030