Prime p₀= 2386962694228174493 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 68 36 54 10 18 12 98 12 18 10 54 36 68 30 (?)
a_n: 0 30 98 134 188 198 216 228 326 338 356 366 420 456 524 554
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: 554
Found by: Landjunge
db: batch=81, k=16, 30 68 36 54 10 18 12 98

SPT(16)	2386961106224546921	0 2 6 20 42 62 72 86 156 170 180 200 222 236 240 242	-1588003627572
STPT(10)	2386961212366883819	0 2 18 20 60 62 102 104 120 122	-1481861290674
SPT(16)	2386961262572998247	0 6 36 66 96 134 140 180 206 246 252 290 320 350 380 386	-1431655176246
SPT(16)	2386961635461500023	0 6 34 40 58 78 124 136 138 150 196 216 234 240 268 274	-1058766674470
SPT(16)	2386961778136982533	0 4 6 18 36 48 78 88 186 196 226 238 256 268 270 274	-916091191960
SPT(16)	2386962351133833881	0 2 42 50 102 122 128 140 150 162 168 188 240 248 288 290	-343094340612
STPT(10)	2386962989196641027	0 2 30 32 42 44 54 56 84 86	294968466534
SPT(16)	2386963067369326091	0 8 18 32 42 50 170 206 252 288 408 416 426 440 450 458	373141151598
STPT(10)	2386963644701450999	0 2 18 20 30 32 42 44 60 62	950473276506
SPT(16)	2386963839063768037	0 10 16 22 36 42 82 154 162 234 274 280 294 300 306 316	1144835593544
SPT(18)	2386963887532774699	0 4 48 114 130 142 144 168 198 244 274 298 300 312 328 394 438 442	1193304600206