Prime p₀= 2564750419755868363 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 66 18 10 42 8 10 26 124 26 10 8 42 10 18 66 (?)
a_n: 0 66 84 94 136 144 154 180 304 330 340 348 390 400 418 484
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: 484
Found by: JayPi
db: batch=82, k=16, 66 18 10 42 8 10 26 124

SPT(16)	2564747987235485369	0 54 62 68 80 110 138 164 198 224 252 282 294 300 308 362	-2432520382994
SPT(16)	2564748187585910563	0 18 24 108 156 180 220 276 328 384 424 448 496 580 586 604	-2232169957800
SPT(16)	2564749027809405709	0 34 42 52 72 90 94 112 132 150 154 172 192 202 210 244	-1391946462654
STPT(10)	2564749062784047281	0 2 6 8 18 20 30 32 36 38	-1356971821082
SPT(16)	2564750036610888169	0 18 114 148 150 172 208 222 280 294 330 352 354 388 484 502	-383144980194
SPT(16)	2564750326073048881	0 36 66 78 126 130 138 208 258 328 336 340 388 400 430 466	-93682819482
SPT(16)	2564750560322057407	0 4 10 24 34 42 54 66 70 82 94 102 112 126 132 136	140566189044
STPT(10)	2564750588750765711	0 2 6 8 18 20 30 32 36 38	168994897348
SPT(16)	2564750629656109369	0 12 24 28 54 94 112 144 178 210 228 268 294 298 310 322	209900241006
TPT(14)	2564750948130859307	0 2 30 32 54 56 72 74 120 122 180 182 204 206	528374990944
STPT(10)	2564750981739122381	0 2 6 8 18 20 30 32 36 38	561983254018