Prime p₀= 2069748455522386433 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 90 14 16 6 8 34 2 4 2 34 8 6 16 14 90 (?)
a_n: 0 90 104 120 126 134 168 170 174 176 210 218 224 240 254 344
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: 344
Found by: Cruncher Pete
db: batch=80, k=16, 90 14 16 6 8 34 2 4

SPT(16)	2069747268592969447	0 42 54 144 154 166 172 196 240 264 270 282 292 382 394 436	-1186929416986
STPT(10)	2069747739310933709	0 2 18 20 30 32 42 44 60 62	-716211452724
SPT(16)	2069748168457488301	0 18 58 70 138 198 210 220 228 238 250 310 378 390 430 448	-287064898132
SPT(16)	2069748235617271471	0 30 52 118 120 150 216 226 252 262 328 358 360 426 448 478	-219905114962
SPT(16)	2069748374658111163	0 18 46 48 70 108 126 168 178 220 238 276 298 300 328 346	-80864275270
SPT(18)	2069748375405337883	0 36 54 60 68 84 90 126 138 176 188 224 230 246 254 260 278 314	-80117048550
SPT(16)	2069748691298812501	0 6 22 90 132 168 180 202 216 238 250 286 328 396 412 418	235776426068
STPT(10)	2069748966657168491	0 2 30 32 60 62 90 92 120 122	511134782058
STPT(10)	2069749255151548511	0 2 30 32 78 80 126 128 156 158	799629162078
STPT(10)	2069749690733044391	0 2 30 32 78 80 126 128 156 158	1235210657958
SPT(16)	2069749863720015571	0 12 30 40 48 70 72 78 112 118 120 142 150 160 178 190	1408197629138