Prime p₀= 1231549452057307067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1231548265908351071	0 36 48 72 80 98 108 120 128 140 150 168 176 200 212 248	-1186148955996
STPT(12)	1231548329373109127	0 2 30 32 84 86 90 92 144 146 174 176	-1122684197940
SPT(16)	1231548617681694271	0 12 22 36 60 88 100 130 138 168 180 208 232 246 256 268	-834375612796
SPT(16)	1231548899971613981	0 6 36 66 80 86 162 168 170 176 252 258 272 302 332 338	-552085693086
TPT(14)	1231549146970954211	0 2 30 32 96 98 108 110 156 158 168 170 180 182	-305086352856
STPT(10)	1231549432463046449	0 2 18 20 30 32 42 44 60 62	-19594260618
SPT(16)	1231549768129164409	0 28 52 60 70 72 102 168 202 268 298 300 310 318 342 370	316071857342
SPT(16)	1231549853989706123	0 14 48 56 74 134 158 204 230 276 300 360 378 386 420 434	401932399056
SPT(16)	1231550224031551451	0 48 62 80 86 102 110 152 186 228 236 252 258 276 290 338	771974244384
STPT(10)	1231550277155980421	0 2 6 8 48 50 90 92 96 98	825098673354
SPT(16)	1231550321056480889	0 8 24 38 140 162 168 192 230 254 260 282 384 398 414 422	868999173822