Prime p₀= 2331517668246141647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: herby44
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2331516839089997681	0 30 38 42 66 80 92 96 152 156 168 182 206 210 218 248	-829156143966
SPT(16)	2331516896787650941	0 42 52 70 76 88 120 130 168 178 210 222 228 246 256 298	-771458490706
SPT(16)	2331517069742144671	0 22 36 46 48 60 76 78 160 162 178 190 192 202 216 238	-598503996976
STPT(10)	2331517207925020481	0 2 36 38 78 80 120 122 156 158	-460321121166
SPT(16)	2331517562642604461	0 20 38 48 102 116 146 168 170 192 222 236 290 300 318 338	-105603537186
SPT(16)	2331517583055088541	0 42 110 116 122 150 158 176 252 270 278 306 312 318 386 428	-85191053106
SPT(16)	2331517867393692011	0 26 66 68 126 128 140 152 156 168 180 182 240 242 282 308	199147550364
STPT(10)	2331518055637830107	0 2 42 44 72 74 102 104 144 146	387391688460
STPT(10)	2331518337037151201	0 2 30 32 60 62 90 92 120 122	668791009554
TPT(14)	2331518454416615771	0 2 30 32 60 62 66 68 156 158 168 170 180 182	786170474124
STPT(10)	2331518670839846729	0 2 42 44 90 92 138 140 180 182	1002593705082