Prime p₀= 1312237251269769541 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 2 46 14 46 74 30 124 30 74 46 14 46 2 10 (?)
a_n: 0 10 12 58 72 118 192 222 346 376 450 496 510 556 558 568
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: 568
Found by: stoneageman
db: batch=77, k=16, 10 2 46 14 46 74 30 124

SPT(16)	1312235377408642301	0 62 68 90 98 116 156 168 200 212 252 270 278 300 306 368	-1873861127240
STPT(10)	1312235721752503529	0 2 42 44 60 62 78 80 120 122	-1529517266012
STPT(10)	1312235842928060597	0 2 30 32 42 44 54 56 84 86	-1408341708944
SPT(16)	1312235919298212901	0 72 90 142 178 180 220 222 256 258 298 300 336 388 406 478	-1331971556640
SPT(16)	1312236369219265601	0 20 66 86 96 158 228 236 270 278 348 410 420 440 486 506	-882050503940
SPT(16)	1312237114813030603	0 4 28 64 106 120 130 156 178 204 214 228 270 306 330 334	-136456738938
STPT(10)	1312237255759839977	0 2 12 14 42 44 72 74 84 86	4490070436
SPT(16)	1312238001250941521	0 18 32 38 72 96 210 242 246 278 392 416 450 456 470 488	749981171980
SPT(16)	1312238027635895981	0 8 38 60 62 80 122 180 188 246 288 306 308 330 360 368	776366126440
SPT(16)	1312238108542080451	0 28 78 90 130 160 166 168 208 210 216 246 286 298 348 376	857272310910
SPT(16)	1312238644201071571	0 6 76 88 102 130 132 138 160 166 168 196 210 222 292 298	1392931302030