Prime p₀= 2565693051136517347 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 70 12 14 4 6 20 40 14 40 20 6 4 14 12 70 (?)
a_n: 0 70 82 96 100 106 126 166 180 220 240 246 250 264 276 346
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: 346
Found by: JayPi
db: batch=82, k=16, 70 12 14 4 6 20 40 14

SPT(16)	2565691616306525251	0 6 12 42 70 130 138 142 156 160 168 228 256 286 292 298	-1434829992096
STPT(10)	2565691858264194461	0 2 6 8 48 50 90 92 96 98	-1192872322886
STPT(10)	2565691942876797149	0 2 18 20 30 32 42 44 60 62	-1108259720198
SPT(16)	2565692100306156083	0 30 78 86 96 126 204 276 278 350 428 458 468 476 524 554	-950830361264
TPT(14)	2565692710644828857	0 2 42 44 54 56 180 182 240 242 252 254 294 296	-340491688490
SPT(16)	2565692746502761111	0 10 36 46 48 78 108 112 186 190 220 250 252 262 288 298	-304633756236
STPT(10)	2565693210661485557	0 2 42 44 72 74 102 104 144 146	159524968210
STPT(10)	2565693354356012987	0 2 12 14 42 44 72 74 84 86	303219495640
STPT(10)	2565693472686419531	0 2 30 32 78 80 126 128 156 158	421549902184
STPT(10)	2565694231372573757	0 2 30 32 42 44 54 56 84 86	1180236056410
SPT(16)	2565694359199647211	0 6 28 30 40 76 78 82 156 160 162 198 208 210 232 238	1308063129864