Prime p₀= 2308234594594669709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2308233031029977707	0 12 36 64 82 90 96 120 166 190 196 204 222 250 274 286	-1563564692002
SPT(16)	2308233309679280219	0 20 32 48 80 84 92 108 134 150 158 162 194 210 222 242	-1284915389490
SPT(16)	2308233389906599693	0 4 18 58 66 70 94 108 136 150 174 178 186 226 240 244	-1204688070016
SPT(16)	2308233558164191543	0 18 58 64 90 118 120 168 190 238 240 268 294 300 340 358	-1036430478166
STPT(10)	2308233847575701369	0 2 18 20 60 62 102 104 120 122	-747018968340
STPT(10)	2308234390037497037	0 2 54 56 132 134 210 212 264 266	-204557172672
STPT(10)	2308234618379140037	0 2 30 32 72 74 114 116 144 146	23784470328
STPT(10)	2308234674937309967	0 2 30 32 60 62 90 92 120 122	80342640258
STPT(10)	2308234788100345787	0 2 12 14 72 74 132 134 144 146	193505676078
SPT(16)	2308234941525614483	0 18 20 44 84 104 114 128 156 170 180 200 240 264 266 284	346930944774
STPT(10)	2308235173212500837	0 2 30 32 42 44 54 56 84 86	578617831128