Prime p₀= 2692515021846268049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 34 2 58 2 40 2 (?)
a_n: 0 2 30 32 72 74 132 134 168 170 228 230 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 28 40 58 34 58 40

STPT(10)	2692512508412433491	0 2 36 38 78 80 120 122 156 158	-2513433834558
SPT(16)	2692512677893593623	0 48 54 104 110 144 164 180 188 204 224 258 264 314 320 368	-2343952674426
SPT(16)	2692512801394054069	0 60 72 112 160 162 168 184 228 244 250 252 300 340 352 412	-2220452213980
STPT(10)	2692513329194201477	0 2 30 32 42 44 54 56 84 86	-1692652066572
SPT(16)	2692514126986560871	0 10 22 52 102 108 112 148 150 186 190 196 246 276 288 298	-894859707178
STPT(10)	2692514360607663479	0 2 18 20 30 32 42 44 60 62	-661238604570
STPT(12)	2692515021846268079	0 2 42 44 102 104 138 140 198 200 240 242	30
SPT(16)	2692515101875583879	0 60 110 114 144 222 224 240 254 270 272 350 380 384 434 494	80029315830
SPT(16)	2692515892014753479	0 8 12 24 30 78 104 114 188 198 224 272 278 290 294 302	870168485430
TPT(14)	2692516197524068211	0 2 6 8 30 32 168 170 246 248 258 260 270 272	1175677800162
STPT(10)	2692516345685693687	0 2 30 32 42 44 54 56 84 86	1323839425638