Prime p₀= 2098713351811000667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(12)	2098711791063785999	0 2 48 50 78 80 132 134 162 164 210 212	-1560747214668
SPT(16)	2098712452627000843	0 58 66 100 114 150 174 234 250 310 334 370 384 418 426 484	-899183999824
SPT(16)	2098712617322676527	0 14 50 54 60 84 110 120 134 144 170 194 200 204 240 254	-734488324140
SPT(16)	2098712808497245397	0 30 44 56 116 122 144 150 176 182 204 210 270 282 296 326	-543313755270
SPT(16)	2098712885556283627	0 12 16 30 42 70 82 94 102 114 126 154 166 180 184 196	-466254717040
STPT(10)	2098713053101166399	0 2 18 20 30 32 42 44 60 62	-298709834268
SPT(16)	2098713913334473991	0 2 12 50 80 86 96 108 110 122 132 138 168 206 216 218	561523473324
SPT(16)	2098714095615718183	0 16 64 94 96 126 154 166 168 180 208 238 240 270 318 334	743804717516
SPT(16)	2098714538660449799	0 12 18 38 68 78 92 122 138 168 182 192 222 242 248 260	1186849449132
STPT(10)	2098715040879281777	0 2 30 32 42 44 54 56 84 86	1689068281110
SPT(16)	2098715153592101227	0 10 22 100 102 120 126 130 162 166 172 190 192 270 282 292	1801781100560