Prime p₀= 1123386293757442457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: crashtech
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1123384316791332689	0 2 18 20 30 32 42 44 60 62	-1976966109768
SPT(16)	1123384398275037841	0 46 70 88 130 166 180 202 216 238 252 288 330 348 372 418	-1895482404616
SPT(16)	1123384975647562129	0 54 78 82 120 124 130 138 154 162 168 172 210 214 238 292	-1318109880328
STPT(10)	1123385424983578787	0 2 30 32 60 62 90 92 120 122	-868773863670
SPT(16)	1123385434290923449	0 24 72 90 100 130 142 150 154 162 174 204 214 232 280 304	-859466519008
SPT(16)	1123385743040964209	0 32 48 74 80 102 120 144 188 212 230 252 258 284 300 332	-550716478248
STPT(10)	1123386897294224741	0 2 6 8 48 50 90 92 96 98	603536782284
SPT(16)	1123386944397427891	0 10 16 18 52 100 112 150 178 216 228 276 310 312 318 328	650639985434
SPT(16)	1123387084140259291	0 12 22 28 40 42 52 66 112 126 136 138 150 156 166 178	790382816834
SPT(16)	1123387242273863387	0 14 32 36 42 74 120 146 270 296 342 374 380 384 402 416	948516420930
STPT(10)	1123387263347430467	0 2 12 14 42 44 72 74 84 86	969589988010