Prime p₀= 2565672306901768541 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 6 8 18 48 40 2 22 2 40 48 18 8 6 36 (?)
a_n: 0 36 42 50 68 116 156 158 180 182 222 270 288 296 302 338
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: 338
Found by: JayPi
db: batch=82, k=16, 36 6 8 18 48 40 2 22

SPT(16)	2565669564196048007	0 14 36 54 150 176 252 260 276 284 360 386 482 500 522 536	-2742705720534
STPT(10)	2565670157027119949	0 2 78 80 120 122 162 164 240 242	-2149874648592
SPT(16)	2565670987007565187	0 4 10 22 46 60 70 90 106 126 136 150 174 186 192 196	-1319894203354
SPT(16)	2565670997512551809	0 30 62 72 74 84 102 110 132 140 158 168 170 180 212 242	-1309389216732
STPT(10)	2565671126822626787	0 2 30 32 42 44 54 56 84 86	-1180079141754
SPT(16)	2565671663584826233	0 6 24 30 34 64 76 84 100 108 120 150 154 160 178 184	-643316942308
SPT(16)	2565672803237446369	0 4 34 42 84 90 130 150 172 192 232 238 280 288 318 322	496335677828
STPT(10)	2565672892994674427	0 2 30 32 42 44 54 56 84 86	586092905886
SPT(16)	2565673231762475123	0 38 90 146 186 200 204 210 224 230 234 248 288 344 396 434	924860706582
STPT(10)	2565673780590411287	0 2 24 26 42 44 60 62 84 86	1473688642746
SPT(16)	2565674000685477391	0 6 10 28 30 40 66 78 238 250 276 286 288 306 310 316	1693783708850