Prime p₀= 2025687793733717231 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 4 2 28 2 10 2 106 2 (?)
a_n: 0 2 108 110 150 152 156 158 186 188 198 200 306 308
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: 308
Found by: Landjunge
db: batch=80, k=14, 106 40 4 28 10 106

STPT(10)	2025686528155818431	0 2 36 38 78 80 120 122 156 158	-1265577898800
STPT(10)	2025686529161672087	0 2 12 14 42 44 72 74 84 86	-1264572045144
SPT(16)	2025687433959213683	0 36 60 66 84 156 168 170 324 326 338 410 428 434 458 494	-359774503548
STPT(10)	2025687529232667197	0 2 42 44 72 74 102 104 144 146	-264501050034
SPT(16)	2025687640474192489	0 12 58 70 78 88 130 198 214 282 324 334 342 354 400 412	-153259524742
SPT(16)	2025687708745988531	0 18 26 32 38 60 98 116 132 150 188 210 216 222 230 248	-84987728700
SPT(16)	2025687803266786121	0 26 42 60 72 80 110 126 182 198 228 236 248 266 282 308	9533068890
SPT(16)	2025687966127992641	0 48 56 66 72 96 122 138 140 156 182 206 212 222 230 278	172394275410
STPT(10)	2025688016782473257	0 2 30 32 42 44 54 56 84 86	223048756026
TPT(14)	2025688134893040851	0 2 6 8 48 50 156 158 408 410 420 422 498 500	341159323620
STPT(10)	2025688297412492771	0 2 36 38 78 80 120 122 156 158	503678775540