Prime p₀= 2176108087188655421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 34 2 28 2 28 2 22 2 (?)
a_n: 0 2 48 50 60 62 96 98 126 128 156 158 180 182
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: 182
Found by: Landjunge
db: batch=81, k=14, 46 10 34 28 28 22

SPT(16)	2176106765641392497	0 6 14 50 72 84 96 134 222 260 272 284 306 342 350 356	-1321547262924
SPT(16)	2176106771299650361	0 42 90 100 186 216 252 282 310 340 376 406 492 502 550 592	-1315889005060
STPT(10)	2176107440603936009	0 2 18 20 30 32 42 44 60 62	-646584719412
STPT(10)	2176107613214031851	0 2 6 8 48 50 90 92 96 98	-473974623570
STPT(10)	2176107852968425601	0 2 36 38 78 80 120 122 156 158	-234220229820
SPT(16)	2176107953749288187	0 2 24 30 44 62 72 110 144 182 192 210 224 230 252 254	-133439367234
STPT(10)	2176108259602144067	0 2 54 56 72 74 90 92 144 146	172413488646
STPT(10)	2176108941364961957	0 2 12 14 72 74 132 134 144 146	854176306536
SPT(16)	2176109282117002823	0 24 38 68 84 108 110 114 134 138 140 164 180 210 224 248	1194928347402
SPT(16)	2176109854073456863	0 34 58 108 126 156 160 184 210 234 238 268 286 336 360 394	1766884801442
SPT(16)	2176109893145775871	0 18 22 118 130 142 168 190 378 400 426 438 450 546 550 568	1805957120450