Prime p₀= 2040612205928527961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Dingo
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2040610800660349679	0 12 20 48 62 90 104 114 128 138 152 180 194 222 230 242	-1405268178282
STPT(10)	2040611032362580919	0 2 48 50 90 92 132 134 180 182	-1173565947042
SPT(16)	2040611124735171449	0 2 24 68 182 198 248 264 308 324 374 390 504 548 570 572	-1081193356512
SPT(16)	2040611464886685751	0 90 102 132 162 166 180 196 216 232 246 250 280 310 322 412	-741041842210
STPT(10)	2040611519275631129	0 2 42 44 60 62 78 80 120 122	-686652896832
SPT(16)	2040611604886458559	0 28 70 102 114 148 184 204 238 258 294 328 340 372 414 442	-601042069402
STPT(10)	2040612411872126759	0 2 18 20 30 32 42 44 60 62	205943598798
SPT(16)	2040612562354534591	0 12 42 78 90 112 120 150 178 208 216 238 250 286 316 328	356426006630
STPT(10)	2040613109483653667	0 2 30 32 42 44 54 56 84 86	903555125706
SPT(16)	2040613213481456909	0 42 44 102 114 120 122 140 144 162 164 170 182 240 242 284	1007552928948
SPT(16)	2040613547911752343	0 10 34 54 78 124 136 160 294 318 330 376 400 420 444 454	1341983224382