Prime p₀= 115354614214767931 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 94 26 6 24 4 38 4 24 6 26 94 6 (?)
a_n: 0 6 100 126 132 156 160 198 202 226 232 258 352 358
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: 358
Found by: emoga
db: batch=67, k=14, 6 94 26 6 24 4 38

TPT(12)	115354508045356751	0 2 6 8 78 80 90 92 108 110 138 140	-106169411180
SPT(14)	115354516880019139	0 34 42 100 114 172 184 228 240 298 312 370 378 412	-97334748792
SPT(16)	115354521253958171	0 12 92 108 120 138 170 212 216 258 290 308 320 336 416 428	-92960809760
STPT(10)	115354550159202587	0 2 72 74 102 104 132 134 204 206	-64055565344
SPT(14)	115354586396638859	0 14 32 74 102 114 152 162 200 212 240 282 300 314	-27818129072
SPT(14)	115354595241884899	0 4 24 40 54 90 102 160 172 208 222 238 258 262	-18972883032
SPT(14)	115354632331684769	0 8 20 24 50 78 90 122 134 162 188 192 204 212	18116916838
SPT(14)	115354662680870383	0 30 66 78 84 168 220 294 346 430 436 448 484 514	48466102452
SPT(14)	115354666565132767	0 40 54 94 120 132 244 252 364 376 402 442 456 496	52350364836
SPT(14)	115354671664601857	0 54 66 82 90 96 126 130 160 166 174 190 202 256	57449833926
SPT(14)	115354697262648313	0 18 28 54 64 78 88 96 106 120 130 156 166 184	83047880382