Prime p₀= 2591867481102276791 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 10 18 14 10 20 12 34 12 20 10 14 18 10 68 (?)
a_n: 0 68 78 96 110 120 140 152 186 198 218 228 242 260 270 338
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, 68 10 18 14 10 20 12 34

SPT(16)	2591866529071170917	0 12 14 20 54 74 140 146 150 156 222 242 276 282 284 296	-952031105874
SPT(16)	2591866625792187529	0 42 60 88 130 142 162 168 214 220 240 252 294 322 340 382	-855310089262
SPT(16)	2591866667013639997	0 46 64 102 112 120 156 172 174 190 226 234 244 282 300 346	-814088636794
STPT(10)	2591866838391166619	0 2 48 50 90 92 132 134 180 182	-642711110172
SPT(16)	2591866844386334833	0 24 48 54 120 156 180 198 216 234 258 294 360 366 390 414	-636715941958
STPT(10)	2591866972753529291	0 2 168 170 198 200 228 230 396 398	-508348747500
TPT(14)	2591867556168223439	0 2 42 44 192 194 198 200 210 212 330 332 390 392	75065946648
SPT(16)	2591867564456403943	0 34 40 58 124 138 156 166 168 178 196 210 276 294 300 334	83354127152
SPT(16)	2591867695100066309	0 50 62 78 90 128 132 134 168 170 174 212 224 240 252 302	213997789518
STPT(10)	2591867726408997677	0 2 84 86 132 134 180 182 264 266	245306720886
SPT(16)	2591868953764897561	0 16 66 82 156 166 208 222 226 240 282 292 366 382 432 448	1472662620770