Prime p₀= 2068534625683847147 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 30 4 114 14 12 10 74 10 12 14 114 4 30 2 (?)
a_n: 0 2 32 36 150 164 176 186 260 270 282 296 410 414 444 446
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: 446
Found by: Cruncher Pete
db: batch=80, k=16, 2 30 4 114 14 12 10 74

SPT(16)	2068532753393925359	0 32 38 50 72 78 84 98 144 158 164 170 192 204 210 242	-1872289921788
STPT(10)	2068533897347531429	0 2 12 14 90 92 168 170 180 182	-728336315718
STPT(10)	2068534047877436759	0 2 42 44 90 92 138 140 180 182	-577806410388
SPT(16)	2068534093690650059	0 12 62 90 108 110 138 308 312 482 510 512 530 558 608 620	-531993197088
STPT(10)	2068534333823467421	0 2 6 8 18 20 30 32 36 38	-291860379726
STPT(10)	2068534422123024587	0 2 30 32 42 44 54 56 84 86	-203560822560
STPT(10)	2068534838317486109	0 2 18 20 30 32 42 44 60 62	212633638962
STPT(10)	2068535047323266057	0 2 30 32 42 44 54 56 84 86	421639418910
SPT(16)	2068535240666124409	0 40 112 130 142 160 168 204 208 244 252 270 282 300 372 412	614982277262
SPT(16)	2068535947960674421	0 12 28 40 78 88 106 132 166 192 210 220 258 270 286 298	1322276827274
SPT(16)	2068536261617600081	0 26 60 66 72 110 128 150 158 180 198 236 242 248 282 308	1635933752934