Prime p₀= 2342956904173015589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2342955404162536907	0 2 42 44 72 74 102 104 144 146	-1500010478682
STPT(10)	2342955816589730099	0 2 18 20 30 32 42 44 60 62	-1087583285490
STPT(10)	2342955886202400011	0 2 30 32 168 170 306 308 336 338	-1017970615578
SPT(16)	2342956242122308159	0 18 28 40 42 48 58 72 100 114 124 130 132 144 154 172	-662050707430
SPT(16)	2342956495807286927	0 24 44 66 84 86 120 122 204 206 240 242 260 282 302 326	-408365728662
SPT(16)	2342956784932254629	0 14 48 62 98 132 138 144 218 224 230 264 300 314 348 362	-119240760960
STPT(10)	2342957149086707519	0 2 42 44 60 62 78 80 120 122	244913691930
SPT(16)	2342957496260939423	0 6 56 60 78 90 108 126 140 158 176 188 206 210 260 266	592087923834
SPT(16)	2342958067887314369	0 8 20 50 74 84 108 114 134 140 164 174 198 228 240 248	1163714298780
SPT(16)	2342958117518656597	0 12 70 72 82 94 124 150 196 222 252 264 274 276 334 346	1213345641008
TPT(14)	2342958195597974819	0 2 12 14 60 62 138 140 168 170 210 212 252 254	1291424959230