Prime p₀= 6313896687671473 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 42 20 4 14 40 56 40 14 4 20 42 4 (?)
a_n: 0 4 46 66 70 84 124 180 220 234 238 258 300 304
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: 304
Found by: Egon olsen
db: batch=62, k=14, 4 42 20 4 14 40 56

SPT(16)	6313876214061587	0 2 20 66 84 92 114 120 176 182 204 212 230 276 294 296	-20473609886
SPT(14)	6313881536079421	0 16 40 42 66 82 100 108 126 142 166 168 192 208	-15151592052
SPT(14)	6313882752615883	0 16 30 54 58 60 84 100 124 126 130 154 168 184	-13935055590
SPT(14)	6313884897755723	0 54 56 68 78 96 110 144 158 176 186 198 200 254	-11789915750
SPT(14)	6313885017636979	0 12 30 40 54 72 82 90 100 118 132 142 160 172	-11670034494
SPT(16)	6313886185977883	0 28 34 66 144 156 160 178 276 294 298 310 388 420 426 454	-10501693590
SPT(14)	6313904461456177	0 40 42 46 82 154 160 186 192 264 300 304 306 346	7773784704
TPT(12)	6313923981224999	0 2 72 74 138 140 282 284 348 350 408 410	27293553526
SPT(16)	6313928620351061	0 86 146 168 180 182 188 198 230 240 246 248 260 282 342 428	31932679588
SPT(14)	6313932888549061	0 72 88 90 96 102 142 156 196 202 208 210 226 298	36200877588
SPT(14)	6313955822184209	0 12 30 72 84 110 114 218 222 248 260 302 320 332	59134512736