Prime p₀= 728849649249600311 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 30 8 42 48 10 32 10 32 10 48 42 8 30 30 (?)
a_n: 0 30 60 68 110 158 168 200 210 242 252 300 342 350 380 410
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: 410
Found by: Theadalus
db: batch=73, k=16, 30 30 8 42 48 10 32 10

SPT(16)	728849114840638621	0 16 46 48 60 102 130 142 156 168 196 238 250 252 282 298	-534408961690
STPT(10)	728849142013269227	0 2 30 32 42 44 54 56 84 86	-507236331084
TPT(14)	728849286523332761	0 2 90 92 96 98 138 140 150 152 210 212 246 248	-362726267550
STPT(10)	728849290129772639	0 2 42 44 60 62 78 80 120 122	-359119827672
STPT(10)	728849522652841451	0 2 36 38 78 80 120 122 156 158	-126596758860
STPT(10)	728849596210212821	0 2 36 38 78 80 120 122 156 158	-53039387490
SPT(16)	728850013322433413	0 14 38 56 66 78 80 104 120 144 146 158 168 186 210 224	364072833102
STPT(10)	728850305176108901	0 2 36 38 78 80 120 122 156 158	655926508590
STPT(10)	728850892234024529	0 2 12 14 30 32 48 50 60 62	1242984424218
TPT(14)	728851367268566471	0 2 18 20 96 98 156 158 198 200 270 272 276 278	1718018966160
SPT(16)	728851509434375797	0 4 46 66 72 130 156 186 220 250 276 334 340 360 402 406	1860184775486