Prime p₀= 816349181015617069 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 54 2 4 6 12 18 2 18 12 6 4 2 54 34 (?)
a_n: 0 34 88 90 94 100 112 130 132 150 162 168 172 174 228 262
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: 262
Found by: Paul
db: batch=73, k=16, 34 54 2 4 6 12 18 2

STPT(10)	816346812304393829	0 2 18 20 30 32 42 44 60 62	-2368711223240
TPT(14)	816347283878195387	0 2 90 92 132 134 180 182 222 224 300 302 414 416	-1897137421682
TPT(14)	816348130744742537	0 2 30 32 54 56 60 62 102 104 144 146 210 212	-1050270874532
STPT(10)	816348265303651061	0 2 36 38 78 80 120 122 156 158	-915711966008
TPT(14)	816348415458300449	0 2 60 62 90 92 132 134 138 140 168 170 258 260	-765557316620
STPT(10)	816348499560612047	0 2 12 14 42 44 72 74 84 86	-681455005022
SPT(16)	816349240608369001	0 10 28 36 48 52 66 108 130 172 186 190 202 210 228 238	59592751932
TPT(14)	816349537430613941	0 2 30 32 96 98 126 128 150 152 186 188 228 230	356414996872
TPT(14)	816350193279193709	0 2 12 14 78 80 120 122 132 134 138 140 168 170	1012263576640
SPT(16)	816350586373908931	0 22 28 46 78 88 90 190 198 298 300 310 342 360 366 388	1405358291862
SPT(16)	816350673201432179	0 30 32 38 42 68 72 74 108 110 114 140 144 150 152 182	1492185815110