Prime p₀= 3012928607814550753 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 58 18 18 2 22 12 50 16 2 16 50 12 22 2 18 18 58 (?)
a_n: 0 58 76 94 96 118 130 180 196 198 214 264 276 298 300 318 336 394
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 394
Found by: Orange Kid
db: batch=82, k=18, 58 18 18 2 22 12 50 16 2

SPT(20)	3012927261358379569	0 12 42 52 100 102 112 114 124 162 172 210 220 222 232 234 282 292 322 334	-1346456171184
SPT(16)	3012927333789148717	0 22 42 54 64 82 112 120 166 174 204 222 232 244 264 286	-1274025402036
STPT(10)	3012928042893493097	0 2 90 92 102 104 114 116 204 206	-564921057656
SPT(16)	3012928188671593663	0 28 64 100 118 120 154 168 190 204 238 240 258 294 330 358	-419142957090
STPT(10)	3012928287954496991	0 2 30 32 78 80 126 128 156 158	-319860053762
STPT(10)	3012928529309410331	0 2 6 8 48 50 90 92 96 98	-78505140422
STPT(10)	3012928905895902347	0 2 54 56 72 74 90 92 144 146	298081351594
STPT(10)	3012928975561820657	0 2 24 26 42 44 60 62 84 86	367747269904
STPT(10)	3012929023097703287	0 2 30 32 42 44 54 56 84 86	415283152534
SPT(16)	3012929166636456973	0 10 58 66 70 78 120 136 210 226 268 276 280 288 336 346	558821906220
STPT(10)	3012929659692181037	0 2 54 56 72 74 90 92 144 146	1051877630284