Prime p₀= 12549135050107531 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 46 110 10 2 40 12 8 12 40 2 10 110 46 (?)
a_n: 0 46 156 166 168 208 220 228 240 280 282 292 402 448
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: 448
Found by: [B@P] Daniel
db: batch=64, k=14, 46 110 10 2 40 12 8

TPT(14)	12549096944289119	0 2 12 14 30 32 42 44 168 170 222 224 258 260	-38105818412
TPT(12)	12549101530388711	0 2 66 68 78 80 96 98 138 140 168 170	-33519718820
SPT(14)	12549118647018049	0 4 12 18 54 70 82 180 192 208 244 250 258 262	-16403089482
SPT(14)	12549123311233699	0 28 40 42 82 94 102 130 138 150 190 192 204 232	-11738873832
SPT(16)	12549123331423499	0 8 90 132 134 144 150 162 170 182 188 198 200 242 324 332	-11718684032
STPT(10)	12549124073228921	0 2 6 8 48 50 90 92 96 98	-10976878610
SPT(14)	12549145315543691	0 26 56 66 72 128 152 156 180 236 242 252 282 308	10265436160
SPT(14)	12549152152126091	0 32 62 80 110 132 216 236 320 342 372 390 420 452	17102018560
SPT(14)	12549154592644289	0 20 32 42 74 90 110 132 152 168 200 210 222 242	19542536758
SPT(14)	12549159797267761	0 12 22 40 42 48 70 78 100 106 108 126 136 148	24747160230
SPT(14)	12549160673861599	0 12 28 34 42 54 84 88 118 130 138 144 160 172	25623754068