Prime p₀= 1967110130735352311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 100 2 34 2 10 2 58 2 28 2 (?)
a_n: 0 2 18 20 120 122 156 158 168 170 228 230 258 260
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: 260
Found by: Landjunge
db: batch=80, k=14, 16 100 34 10 58 28

STPT(12)	1967108726266684487	0 2 12 14 42 44 60 62 90 92 102 104	-1404468667824
SPT(16)	1967109223388790101	0 12 90 108 152 158 168 176 192 200 210 216 260 278 356 368	-907346562210
SPT(16)	1967109251387275889	0 24 62 90 92 98 104 110 132 138 144 150 152 180 218 242	-879348076422
SPT(16)	1967109320356813807	0 12 42 54 72 76 82 102 124 144 150 154 172 184 214 226	-810378538504
STPT(10)	1967109422053872791	0 2 30 32 60 62 90 92 120 122	-708681479520
SPT(16)	1967109605385765131	0 12 42 90 140 152 170 186 266 282 300 312 362 410 440 452	-525349587180
STPT(10)	1967110534485972047	0 2 12 14 72 74 132 134 144 146	403750619736
TPT(16)	1967110911867782477	0 2 54 56 84 86 234 236 294 296 324 326 390 392 432 434	781132430166
TPT(14)	1967111060058318929	0 2 42 44 102 104 138 140 150 152 198 200 210 212	929322966618
STPT(10)	1967111101808371427	0 2 30 32 42 44 54 56 84 86	971073019116
SPT(16)	1967111945724013003	0 18 28 58 60 66 70 88 138 156 160 166 168 198 208 226	1814988660692