Prime p₀= 2819175551538329729 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 2 40 8 12 10 44 16 44 10 12 8 40 2 12 (?)
a_n: 0 12 14 54 62 74 84 128 144 188 198 210 218 258 260 272
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: 272
Found by: JayPi
db: batch=82, k=16, 12 2 40 8 12 10 44 16

SPT(16)	2819174974319911631	0 2 8 32 42 50 62 78 152 168 180 188 198 222 228 230	-577218418098
STPT(10)	2819175009911644799	0 2 18 20 30 32 42 44 60 62	-541626684930
SPT(16)	2819175094310990953	0 6 30 46 76 84 94 114 130 150 160 168 198 214 238 244	-457227338776
SPT(16)	2819175131919148553	0 6 38 50 68 96 104 134 180 210 218 246 264 276 308 314	-419619181176
SPT(16)	2819175362649647479	0 78 100 112 142 178 184 192 280 288 294 330 360 372 394 472	-188888682250
STPT(10)	2819175432900133661	0 2 6 8 48 50 90 92 96 98	-118638196068
STPT(10)	2819175620383801451	0 2 36 38 108 110 180 182 216 218	68845471722
TPT(14)	2819175808934150669	0 2 12 14 78 80 168 170 210 212 222 224 258 260	257395820940
SPT(16)	2819176068474442111	0 10 28 40 66 180 186 208 240 262 268 382 408 420 438 448	516936112382
STPT(10)	2819176386025841459	0 2 48 50 60 62 72 74 120 122	834487511730
SPT(16)	2819176687528440157	0 22 24 52 72 102 112 120 136 144 154 184 204 232 234 256	1135990110428