Prime p₀= 2343266669314581233 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 20 28 32 12 66 66 4 66 66 12 32 28 20 6 (?)
a_n: 0 6 26 54 86 98 164 230 234 300 366 378 410 438 458 464
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: 464
Found by: Landjunge
db: batch=81, k=16, 6 20 28 32 12 66 66 4

SPT(16)	2343265116598430251	0 6 12 16 28 42 100 112 126 138 196 210 222 226 232 238	-1552716150982
STPT(12)	2343265155858163079	0 2 12 14 30 32 72 74 90 92 102 104	-1513456418154
SPT(16)	2343265431030954527	0 6 30 80 104 114 116 164 192 240 242 252 276 326 350 356	-1238283626706
SPT(16)	2343265577147308199	0 8 18 44 68 128 138 168 170 200 210 270 294 320 330 338	-1092167273034
SPT(16)	2343265697234031737	0 14 74 102 144 150 194 212 294 312 356 362 404 432 492 506	-972080549496
SPT(16)	2343265825746249661	0 46 52 126 130 136 148 178 180 210 222 228 232 306 312 358	-843568331572
STPT(10)	2343266748851837927	0 2 24 26 42 44 60 62 84 86	79537256694
SPT(16)	2343266761585024447	0 6 34 54 76 90 100 130 156 186 196 210 232 252 280 286	92270443214
SPT(16)	2343267173753725939	0 24 48 114 130 142 144 262 300 418 420 432 448 514 538 562	504439144706
SPT(16)	2343267325095741691	0 28 30 48 72 76 78 106 132 160 162 166 190 208 210 238	655781160458
STPT(10)	2343267432938324729	0 2 12 14 90 92 168 170 180 182	763623743496