Prime p₀= 2306113554181896643 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 12 78 54 30 20 6 16 6 20 30 54 78 12 4 (?)
a_n: 0 4 16 94 148 178 198 204 220 226 246 276 330 408 420 424
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: 424
Found by: FritzB
db: batch=81, k=16, 4 12 78 54 30 20 6 16

SPT(16)	2306112052808915413	0 6 34 60 126 144 150 174 256 280 286 304 370 396 424 430	-1501372981230
SPT(20)	2306112463658002063	0 30 54 64 70 78 84 114 120 150 184 214 220 250 256 264 270 280 304 334	-1090523894580
SPT(16)	2306112833881909259	0 30 48 50 60 78 114 140 162 188 224 242 252 254 272 302	-720299987384
TPT(14)	2306113207229545919	0 2 18 20 72 74 168 170 228 230 240 242 258 260	-346952350724
SPT(16)	2306113218308844977	0 74 114 132 140 152 170 174 182 186 204 216 224 242 282 356	-335873051666
SPT(16)	2306113275852797269	0 42 52 70 132 162 180 190 222 232 250 280 342 360 370 412	-278329099374
TPT(14)	2306113555321161359	0 2 12 14 48 50 72 74 168 170 180 182 228 230	1139264716
SPT(16)	2306113561525189261	0 16 18 28 52 72 88 96 172 180 196 216 240 250 252 268	7343292618
STPT(10)	2306113598480844749	0 2 18 20 60 62 102 104 120 122	44298948106
STPT(10)	2306113649650120361	0 2 6 8 18 20 30 32 36 38	95468223718
STPT(10)	2306113727986208849	0 2 42 44 60 62 78 80 120 122	173804312206