Prime p₀= 2031329508903128779 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 36 54 34 6 30 14 30 6 34 54 36 20 4 (?)
a_n: 0 4 24 60 114 148 154 184 198 228 234 268 322 358 378 382
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: 382
Found by: Landjunge
db: batch=80, k=16, 4 20 36 54 34 6 30 14

SPT(16)	2031327378345238511	0 26 42 62 96 126 132 140 192 200 206 236 270 290 306 332	-2130557890268
SPT(16)	2031327487370436917	0 44 56 90 104 114 176 210 260 294 356 366 380 414 426 470	-2021532691862
STPT(10)	2031327589687438541	0 2 36 38 78 80 120 122 156 158	-1919215690238
STPT(10)	2031327897611511617	0 2 30 32 42 44 54 56 84 86	-1611291617162
SPT(16)	2031327956541119161	0 6 18 28 48 66 90 102 136 148 172 190 210 220 232 238	-1552362009618
SPT(16)	2031328497118592641	0 16 22 90 106 126 166 168 280 282 322 342 358 426 432 448	-1011784536138
SPT(16)	2031329757331709869	0 4 40 42 58 60 72 84 88 100 112 114 130 132 168 172	248428581090
STPT(10)	2031330085233382667	0 2 30 32 42 44 54 56 84 86	576330253888
STPT(10)	2031330193116893717	0 2 42 44 72 74 102 104 144 146	684213764938
SPT(16)	2031330302503411223	0 68 96 114 138 146 194 230 264 300 348 356 380 398 426 494	793600282444
STPT(10)	2031330674429962691	0 2 30 32 78 80 126 128 156 158	1165526833912