Prime p₀= 1245770520937783637 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: emoga
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1245769835813752589	0 2 18 20 30 32 42 44 60 62	-685124031048
SPT(16)	1245769921665411509	0 2 8 48 78 90 104 122 180 198 212 224 254 294 300 302	-599272372128
STPT(12)	1245769931786630309	0 2 12 14 42 44 48 50 78 80 90 92	-589151153328
SPT(16)	1245770242205794397	0 2 30 44 86 96 134 140 156 162 200 210 252 266 294 296	-278731989240
TPT(14)	1245770334489314717	0 2 30 32 42 44 114 116 144 146 150 152 270 272	-186448468920
SPT(13)	1245770519390342159	0 42 84 102 114 144 162 180 210 222 240 282 324	-1547441478
SPT(16)	1245770549127010367	0 2 6 32 86 126 132 170 186 224 230 270 324 350 354 356	28189226730
TPT(14)	1245770698215306479	0 2 12 14 102 104 138 140 240 242 270 272 282 284	177277522842
SPT(16)	1245770886425190899	0 14 42 60 68 90 98 104 138 144 152 174 182 200 228 242	365487407262
SPT(16)	1245770930907245299	0 42 82 204 228 238 244 250 252 258 264 274 298 420 460 502	409969461662
SPT(16)	1245771047152847203	0 24 58 66 136 150 190 196 228 234 274 288 358 366 400 424	526215063566