Prime p₀= 347332301210252251 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 88 38 4 8 12 18 10 18 12 8 4 38 88 (?)
a_n: 0 88 126 130 138 150 168 178 196 208 216 220 258 346
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: 346
Found by: scrap
db: batch=70, k=14, 88 38 4 8 12 18 10

TPT(12)	347332232292759377	0 2 24 26 144 146 180 182 222 224 234 236	-68917492874
SPT(14)	347332235087913233	0 20 78 86 90 126 138 176 188 224 228 236 294 314	-66122339018
SPT(14)	347332254020866421	0 2 26 32 42 48 68 90 110 116 126 132 156 158	-47189385830
SPT(16)	347332268835840949	0 22 30 40 52 100 114 174 268 328 342 390 402 412 420 442	-32374411302
TPT(12)	347332271264308829	0 2 30 32 48 50 72 74 78 80 120 122	-29945943422
TPT(12)	347332297460907947	0 2 84 86 102 104 210 212 222 224 240 242	-3749344304
SPT(14)	347332308851554597	0 16 22 106 114 124 132 154 162 172 180 264 270 286	7641302346
SPT(14)	347332336022822203	0 16 36 88 114 120 130 144 154 160 186 238 258 274	34812569952
SPT(14)	347332338580800917	0 24 26 44 80 84 114 152 182 186 222 240 242 266	37370548666
SPT(16)	347332346744733617	0 24 86 144 186 192 194 212 264 282 284 290 332 390 452 476	45534481366
TPT(12)	347332362331670501	0 2 30 32 78 80 210 212 258 260 288 290	61121418250