Prime p₀= 1314352152402769721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 76 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 90 92 168 170 180 182 216 218
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: 218
Found by: suriv
db: batch=77, k=14, 34 10 40 76 10 34

SPT(16)	1314349893502873681	0 12 16 48 76 88 108 132 136 160 180 192 220 252 256 268	-2258899896040
SPT(16)	1314349922388162479	0 24 68 80 98 102 120 122 240 242 260 264 282 294 338 362	-2230014607242
SPT(16)	1314351390735963143	0 6 18 84 110 116 120 126 188 194 198 204 230 296 308 314	-761666806578
TPT(14)	1314351620123886647	0 2 30 32 114 116 132 134 144 146 162 164 174 176	-532278883074
STPT(10)	1314351766243439969	0 2 48 50 90 92 132 134 180 182	-386159329752
TPT(14)	1314351851515238099	0 2 90 92 102 104 168 170 210 212 282 284 348 350	-300887531622
SPT(16)	1314352678983926683	0 10 30 34 40 76 124 126 208 210 258 294 300 304 324 334	526581156962
STPT(10)	1314353015138820689	0 2 48 50 90 92 132 134 180 182	862736050968
STPT(10)	1314353120693541959	0 2 18 20 30 32 42 44 60 62	968290772238
SPT(16)	1314353566280572379	0 8 24 48 72 74 92 144 188 240 258 260 284 308 324 332	1413877802658
SPT(20)	1314353619834658121	0 12 20 32 38 68 80 90 98 122 168 192 200 210 222 252 258 270 278 290	1467431888400