Prime p₀= 2069553382412897597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2069552307812870957	0 26 72 96 156 170 192 206 216 230 252 266 326 350 396 422	-1074600026640
SPT(16)	2069552382361844759	0 8 32 44 140 162 170 210 242 282 290 312 408 420 444 452	-1000051052838
SPT(16)	2069552525622050333	0 60 68 120 134 140 170 204 320 354 384 390 404 456 464 524	-856790847264
STPT(10)	2069552646207975161	0 2 36 38 78 80 120 122 156 158	-736204922436
SPT(16)	2069553017178001559	0 8 32 68 72 78 102 120 200 218 242 248 252 288 312 320	-365234896038
STPT(10)	2069553083753276081	0 2 36 38 78 80 120 122 156 158	-298659621516
SPT(18)	2069553562261064461	0 40 52 66 96 130 136 162 168 190 196 222 228 262 292 306 318 358	179848166864
SPT(16)	2069554049843169419	0 50 110 132 140 158 162 168 194 200 204 222 230 252 312 362	667430271822
STPT(10)	2069554231653403067	0 2 24 26 42 44 60 62 84 86	849240505470
SPT(16)	2069554530356473477	0 22 52 66 76 120 150 160 162 172 202 246 256 270 300 322	1147943575880
STPT(10)	2069554585114133147	0 2 30 32 60 62 90 92 120 122	1202701235550