Prime p₀= 2350394465474644627 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 20 10 18 8 22 8 4 8 22 8 18 10 20 34 (?)
a_n: 0 34 54 64 82 90 112 120 124 132 154 162 180 190 210 244
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: 244
Found by: Xenon
db: batch=81, k=16, 34 20 10 18 8 22 8 4

STPT(10)	2350393573335416261	0 2 30 32 120 122 210 212 240 242	-892139228366
SPT(16)	2350393733134313467	0 12 24 34 60 82 160 234 280 354 432 454 480 490 502 514	-732340331160
SPT(16)	2350394277976148699	0 8 32 60 72 74 80 92 150 162 168 170 182 210 234 242	-187498495928
TPT(14)	2350394306528646947	0 2 84 86 114 116 174 176 204 206 240 242 294 296	-158945997680
SPT(16)	2350394355707291977	0 24 30 72 94 100 114 132 202 220 234 240 262 304 310 334	-109767352650
SPT(16)	2350394372107985351	0 18 32 92 98 102 120 210 278 368 386 390 396 456 470 488	-93366659276
STPT(10)	2350394751294728597	0 2 30 32 42 44 54 56 84 86	285820083970
SPT(16)	2350394901676764751	0 12 42 76 78 90 118 120 208 210 238 250 252 286 316 328	436202120124
STPT(10)	2350394933813360207	0 2 54 56 72 74 90 92 144 146	468338715580
TPT(14)	2350394958802263341	0 2 48 50 150 152 216 218 276 278 300 302 336 338	493327618714
STPT(10)	2350395154621809857	0 2 42 44 72 74 102 104 144 146	689147165230