Prime p₀= 2556565939757599831 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 30 4 66 24 14 30 22 30 14 24 66 4 30 12 (?)
a_n: 0 12 42 46 112 136 150 180 202 232 246 270 336 340 370 382
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: 382
Found by: JayPi
db: batch=82, k=16, 12 30 4 66 24 14 30 22

STPT(10)	2556565346707981517	0 2 30 32 42 44 54 56 84 86	-593049618314
TPT(14)	2556565366311002699	0 2 90 92 210 212 252 254 330 332 342 344 378 380	-573446597132
SPT(16)	2556565616227334713	0 18 40 94 138 144 154 156 178 180 190 196 240 294 316 334	-323530265118
STPT(10)	2556565751005432289	0 2 12 14 30 32 48 50 60 62	-188752167542
TPT(14)	2556565881579595799	0 2 42 44 138 140 180 182 210 212 222 224 270 272	-58178004032
SPT(16)	2556565900394285071	0 6 18 40 48 90 168 216 292 340 418 460 468 490 502 508	-39363314760
SPT(16)	2556566207523531421	0 52 66 82 100 102 106 142 150 186 190 192 210 226 240 292	267765931590
SPT(16)	2556566403666620117	0 2 6 12 56 66 80 90 146 156 170 180 224 230 234 236	463909020286
SPT(16)	2556566577208845623	0 30 38 86 126 134 140 164 210 234 240 248 288 336 344 374	637451245792
SPT(16)	2556566621519112673	0 100 126 136 144 150 168 174 340 346 364 370 378 388 414 514	681761512842
STPT(10)	2556566783754928559	0 2 18 20 30 32 42 44 60 62	843997328728