Prime p₀= 2866955188688439253 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 30 14 40 8 34 6 32 6 34 8 40 14 30 4 (?)
a_n: 0 4 34 48 88 96 130 136 168 174 208 216 256 270 300 304
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: 304
Found by: JonS
db: batch=82, k=16, 4 30 14 40 8 34 6 32

SPT(16)	2866953360869302949	0 38 48 104 128 132 192 194 228 230 290 294 318 374 384 422	-1827819136304
STPT(10)	2866953764496160481	0 2 6 8 18 20 30 32 36 38	-1424192278772
STPT(12)	2866953929336943359	0 2 12 14 42 44 60 62 90 92 102 104	-1259351495894
SPT(16)	2866954468310519539	0 40 54 60 82 102 112 124 150 162 172 192 214 220 234 274	-720377919714
TPT(14)	2866955052789767351	0 2 18 20 60 62 96 98 126 128 150 152 168 170	-135898671902
STPT(10)	2866955095955571347	0 2 24 26 42 44 60 62 84 86	-92732867906
SPT(16)	2866955220781847753	0 8 18 26 48 54 96 126 158 188 230 236 258 266 276 284	32093408500
STPT(10)	2866955679269579927	0 2 12 14 42 44 72 74 84 86	490581140674
STPT(10)	2866956321029543291	0 2 6 8 48 50 90 92 96 98	1132341104038
SPT(16)	2866956331298891959	0 18 58 84 102 108 112 114 178 180 184 190 208 234 274 292	1142610452706
SPT(16)	2866956339183956819	0 24 42 48 104 140 150 158 174 182 192 228 284 290 308 332	1150495517566