Prime p₀= 729491503529123539 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 16 12 2 36 34 78 20 78 34 36 2 12 16 12 (?)
a_n: 0 12 28 40 42 78 112 190 210 288 322 358 360 372 388 400
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: 400
Found by: Theadalus
db: batch=73, k=16, 12 16 12 2 36 34 78 20

STPT(10)	729490451027903567	0 2 30 32 60 62 90 92 120 122	-1052501219972
STPT(10)	729490469339292767	0 2 12 14 42 44 72 74 84 86	-1034189830772
SPT(16)	729491102657493311	0 42 78 92 102 182 192 200 258 266 276 356 366 380 416 458	-400871630228
SPT(16)	729491294589516643	0 4 6 28 70 78 100 118 156 174 196 204 246 268 270 274	-208939606896
TPT(14)	729491379941436029	0 2 12 14 30 32 78 80 108 110 168 170 210 212	-123587687510
TPT(14)	729491430413101787	0 2 54 56 60 62 90 92 144 146 324 326 354 356	-73116021752
SPT(16)	729491517285983041	0 6 66 126 130 132 150 156 232 238 256 258 262 322 382 388	13756859502
STPT(10)	729491533928628431	0 2 36 38 78 80 120 122 156 158	30399504892
TPT(14)	729491583046429781	0 2 6 8 30 32 48 50 198 200 216 218 270 272	79517306242
SPT(16)	729491700271671529	0 10 24 40 48 82 100 114 118 132 150 184 192 208 222 232	196742547990
STPT(10)	729491939341232831	0 2 30 32 78 80 126 128 156 158	435812109292