Prime p₀= 1296896876618874673 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 48 46 20 12 4 38 58 2 58 38 4 12 20 46 48 (?)
a_n: 0 48 94 114 126 130 168 226 228 286 324 328 340 360 406 454
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 454
Found by: Cruncher Pete
db: batch=77, k=16, 48 46 20 12 4 38 58 2

SPT(16)	1296894957177096281	0 2 12 26 56 86 90 92 96 98 102 132 162 176 186 188	-1919441778392
SPT(16)	1296894994273196959	0 40 42 64 78 112 138 172 180 214 240 274 288 310 312 352	-1882345677714
STPT(10)	1296895512806960291	0 2 36 38 78 80 120 122 156 158	-1363811914382
SPT(16)	1296895872878259691	0 70 78 148 160 168 202 300 310 408 442 450 462 532 540 610	-1003740614982
STPT(10)	1296895891630165427	0 2 30 32 42 44 54 56 84 86	-984988709246
STPT(10)	1296896496312255659	0 2 42 44 60 62 78 80 120 122	-380306619014
STPT(10)	1296896949288669107	0 2 30 32 42 44 54 56 84 86	72669794434
STPT(10)	1296897775100446469	0 2 18 20 30 32 42 44 60 62	898481571796
SPT(16)	1296897859312207237	0 12 52 72 94 126 180 184 192 196 250 282 304 324 364 376	982693332564
STPT(10)	1296897931637831987	0 2 90 92 102 104 114 116 204 206	1055018957314
SPT(16)	1296898435434588923	0 6 30 54 68 84 110 114 140 144 170 186 200 224 248 254	1558815714250