Prime p₀= 2913631053164863529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 70 2 70 2 34 2 28 2 52 2 (?)
a_n: 0 2 108 110 180 182 252 254 288 290 318 320 372 374
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: 374
Found by: Landjunge
db: batch=82, k=14, 106 70 70 34 28 52

SPT(16)	2913629223677891629	0 4 60 82 84 102 124 130 144 150 172 190 192 214 270 274	-1829486971900
SPT(16)	2913629594197706561	0 30 38 50 60 72 90 108 140 158 176 188 198 210 218 248	-1458967156968
SPT(16)	2913630368862806543	0 14 18 38 66 84 98 104 150 156 170 188 216 236 240 254	-684302056986
STPT(10)	2913630721499400827	0 2 12 14 42 44 72 74 84 86	-331665462702
SPT(16)	2913630742648591711	0 12 102 148 196 228 232 238 390 396 400 432 480 526 616 628	-310516271818
STPT(10)	2913631040226742349	0 2 48 50 90 92 132 134 180 182	-12938121180
SPT(16)	2913631464076708147	0 6 12 42 90 94 166 222 274 330 402 406 454 484 490 496	410911844618
STPT(10)	2913631577235180479	0 2 18 20 30 32 42 44 60 62	524070316950
SPT(16)	2913631577434888747	0 12 24 52 54 64 82 112 162 192 210 220 222 250 262 274	524270025218
STPT(12)	2913631675803204311	0 2 18 20 60 62 96 98 138 140 156 158	622638340782
SPT(16)	2913631828164610181	0 26 32 102 146 180 182 188 270 276 278 312 356 426 432 458	774999746652