Prime p₀= 7646041143694687 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 6 24 92 4 12 2 12 4 92 24 6 4 (?)
a_n: 0 4 10 34 126 130 142 144 156 160 252 276 282 286
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: 286
Found by: amazing
db: batch=62, k=14, 4 6 24 92 4 12 2

SPT(14)	7646007481972213	0 6 28 30 70 76 100 186 210 216 256 258 280 286	-33661722474
TPT(12)	7646012861908409	0 2 30 32 48 50 60 62 132 134 240 242	-28281786278
SPT(14)	7646024442594817	0 6 10 12 52 70 76 90 96 114 154 156 160 166	-16701099870
SPT(20)	7646026478342381	0 6 8 42 48 56 78 108 128 162 176 210 230 260 282 290 296 330 332 338	-14665352306
TPT(12)	7646028381092369	0 2 30 32 90 92 132 134 162 164 168 170	-12762602318
SPT(14)	7646032214303419	0 52 70 72 100 114 172 180 238 252 280 282 300 352	-8929391268
SPT(14)	7646045470540681	0 12 42 66 70 78 96 112 130 138 142 166 196 208	4326845994
SPT(14)	7646047323244039	0 10 48 54 84 108 142 300 334 358 388 394 432 442	6179549352
SPT(14)	7646055981929149	0 22 28 30 78 94 100 162 168 184 232 234 240 262	14838234462
SPT(14)	7646056692045661	0 18 28 30 40 70 96 130 156 186 196 198 208 226	15548350974
SPT(14)	7646063528645093	0 6 14 38 54 56 80 114 138 140 156 180 188 194	22384950406