Prime p₀= 2568673223112185633 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 66 14 4 24 26 10 56 10 26 24 4 14 66 30 (?)
a_n: 0 30 96 110 114 138 164 174 230 240 266 290 294 308 374 404
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: 404
Found by: RFGuy_KCCO
db: batch=82, k=16, 30 66 14 4 24 26 10 56

SPT(16)	2568672562117191869	0 8 20 54 98 110 114 150 152 188 192 204 248 282 294 302	-660994993764
SPT(16)	2568672575607068261	0 8 60 66 92 116 126 140 168 182 192 216 242 248 300 308	-647505117372
SPT(16)	2568672760187955713	0 6 26 116 140 144 230 248 336 354 440 444 468 558 578 584	-462924229920
TPT(14)	2568672940884746987	0 2 30 32 42 44 54 56 102 104 132 134 144 146	-282227438646
SPT(16)	2568673052500958701	0 18 30 46 48 90 100 148 180 228 238 280 282 298 310 328	-170611226932
SPT(16)	2568673187017794553	0 6 16 36 54 138 168 198 256 286 316 400 418 438 448 454	-36094391080
SPT(16)	2568673250389165093	0 4 40 48 66 84 96 136 168 208 220 238 256 264 300 304	27276979460
SPT(16)	2568673562442053009	0 12 38 102 110 128 140 194 228 282 294 312 320 384 410 422	339329867376
STPT(10)	2568673696302343967	0 2 30 32 42 44 54 56 84 86	473190158334
SPT(18)	2568673848562021313	0 24 54 98 168 170 210 218 240 248 270 278 318 320 390 434 464 488	625449835680
STPT(10)	2568674052215356541	0 2 30 32 78 80 126 128 156 158	829103170908