Prime p₀= 798692108416219349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: scrap
db: batch=73, k=10, 2 10 2 76 2

SPT(16)	798691245141439379	0 30 38 42 44 80 92 98 114 120 132 168 170 174 182 212	-863274779970
STPT(10)	798691327198195049	0 2 12 14 90 92 168 170 180 182	-781218024300
TPT(16)	798691458249161441	0 2 30 32 96 98 150 152 156 158 228 230 336 338 360 362	-650167057908
SPT(16)	798691532573340841	0 12 40 100 102 112 156 172 180 196 240 250 252 312 340 352	-575842878508
SPT(16)	798691759847227249	0 58 72 78 82 84 94 112 120 138 148 150 154 160 174 232	-348568992100
TPT(14)	798691881646062527	0 2 12 14 54 56 90 92 102 104 180 182 222 224	-226770156822
TPT(14)	798692182837327841	0 2 18 20 30 32 108 110 168 170 240 242 360 362	74421108492
TPT(16)	798692368957111829	0 2 30 32 102 104 168 170 180 182 210 212 228 230 252 254	260540892480
STPT(10)	798692990385723479	0 2 12 14 90 92 168 170 180 182	881969504130
SPT(16)	798693029486192513	0 8 18 24 36 50 56 60 74 78 84 98 110 116 126 134	921069973164
STPT(10)	798693274975445849	0 2 18 20 30 32 42 44 60 62	1166559226500