Prime p₀= 952312692121464431 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: Spectrum
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	952311693605866367	0 14 36 60 120 134 152 174 182 204 222 236 296 320 342 356	-998515598064
SPT(16)	952311814354518067	0 36 64 130 132 150 156 162 184 190 196 214 216 282 310 346	-877766946364
SPT(16)	952311993957987937	0 16 42 52 70 72 94 120 136 162 184 186 204 214 240 256	-698163476494
STPT(10)	952312298029990949	0 2 42 44 60 62 78 80 120 122	-394091473482
SPT(16)	952312485143099417	0 2 30 32 36 102 116 120 122 126 140 206 210 212 240 242	-206978365014
STPT(10)	952312646077403519	0 2 18 20 30 32 42 44 60 62	-46044060912
SPT(16)	952312866563102951	0 20 30 56 78 86 98 110 156 168 180 188 210 236 246 266	174441638520
STPT(10)	952313029670669627	0 2 30 32 102 104 174 176 204 206	337549205196
TPT(14)	952313042939810801	0 2 60 62 168 170 216 218 228 230 348 350 366 368	350818346370
SPT(16)	952313157935608351	0 12 36 46 70 78 112 178 180 246 280 288 312 322 346 358	465814143920
STPT(10)	952313324728048427	0 2 42 44 72 74 102 104 144 146	632606583996