Prime p₀= 1012070429113413013 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 8 96 12 52 32 10 104 10 32 52 12 96 8 10 (?)
a_n: 0 10 18 114 126 178 210 220 324 334 366 418 430 526 534 544
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: 544
Found by: Theadalus
db: batch=76, k=16, 10 8 96 12 52 32 10 104

SPT(16)	1012068501132046363	0 18 40 48 54 64 78 118 180 220 234 244 250 258 280 298	-1927981366650
STPT(10)	1012068526864538177	0 2 60 62 72 74 84 86 144 146	-1902248874836
SPT(16)	1012069026700421297	0 2 6 14 54 56 66 80 156 170 180 182 222 230 234 236	-1402412991716
STPT(10)	1012069285306989731	0 2 6 8 48 50 90 92 96 98	-1143806423282
STPT(10)	1012069608110245931	0 2 36 38 78 80 120 122 156 158	-821003167082
SPT(13)	1012069984877798929	0 42 54 90 102 120 132 144 162 174 210 222 264	-444235614084
TPT(14)	1012070956600521707	0 2 30 32 42 44 84 86 114 116 180 182 264 266	527487108694
SPT(16)	1012070956989326197	0 6 12 22 46 60 94 96 160 162 196 210 234 244 250 256	527875913184
SPT(16)	1012071211593864607	0 30 34 42 52 136 174 196 240 262 300 384 394 402 406 436	782480451594
STPT(10)	1012072090257940247	0 2 30 32 42 44 54 56 84 86	1661144527234
STPT(10)	1012072395308161169	0 2 12 14 90 92 168 170 180 182	1966194748156