Prime p₀= 2539942404784384309 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 4 8 30 18 34 26 34 18 30 8 4 6 24 (?)
a_n: 0 24 30 34 42 72 90 124 150 184 202 232 240 244 250 274
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: 274
Found by: Penguin
db: batch=82, k=16, 24 6 4 8 30 18 34 26

SPT(16)	2539940390967070541	0 6 38 42 48 60 80 92 216 228 248 260 266 270 302 308	-2013817313768
SPT(16)	2539940487778464523	0 48 58 70 114 148 154 174 190 210 216 250 294 306 316 364	-1917005919786
SPT(16)	2539940730024373493	0 24 140 156 180 188 210 230 234 254 276 284 308 324 440 464	-1674760010816
STPT(10)	2539941154357660811	0 2 6 8 18 20 30 32 36 38	-1250426723498
SPT(16)	2539941355046756117	0 2 30 86 140 150 182 186 296 300 332 342 396 452 480 482	-1049737628192
STPT(10)	2539941583985127809	0 2 48 50 90 92 132 134 180 182	-820799256500
SPT(16)	2539943121539677627	0 12 22 42 54 82 90 112 174 196 204 232 244 264 274 286	716755293318
SPT(16)	2539943483421033563	0 18 20 30 54 86 96 104 150 158 168 200 224 234 236 254	1078636649254
TPT(14)	2539943871460504667	0 2 42 44 72 74 90 92 114 116 144 146 270 272	1466676120358
SPT(16)	2539943924869743731	0 36 48 78 98 126 150 176 180 206 230 258 278 308 320 356	1520085359422
STPT(10)	2539944137054022497	0 2 30 32 42 44 54 56 84 86	1732269638188