Prime p₀= 2345674900691008091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2345674079213564083	0 6 10 34 48 54 64 90 154 180 190 196 210 234 238 244	-821477444008
STPT(10)	2345674128444197597	0 2 12 14 72 74 132 134 144 146	-772246810494
TPT(14)	2345674201823918501	0 2 18 20 30 32 48 50 126 128 180 182 240 242	-698867089590
SPT(16)	2345674404556394689	0 22 24 60 94 114 120 138 154 172 178 198 232 268 270 292	-496134613402
STPT(10)	2345674515831217601	0 2 30 32 60 62 90 92 120 122	-384859790490
TPT(14)	2345674799166573071	0 2 36 38 138 140 150 152 156 158 198 200 246 248	-101524435020
TPT(14)	2345675609362755671	0 2 78 80 150 152 180 182 210 212 276 278 306 308	708671747580
STPT(10)	2345675629648744007	0 2 24 26 42 44 60 62 84 86	728957735916
SPT(16)	2345675668314059261	0 12 26 50 60 116 122 126 176 180 186 242 252 276 290 302	767623051170
SPT(16)	2345675907091363051	0 28 30 36 66 88 108 150 196 238 258 280 310 316 318 346	1006400354960
SPT(16)	2345676087392088707	0 20 50 72 102 116 126 144 242 260 270 284 314 336 366 386	1186701080616