Prime p₀= 2290531712354591969 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: Landjunge
db: batch=81, k=10, 2 46 2 40 2

STPT(10)	2290530285862052627	0 2 30 32 42 44 54 56 84 86	-1426492539342
STPT(12)	2290530856325245967	0 2 12 14 24 26 30 32 42 44 54 56	-856029346002
SPT(16)	2290531160322314773	0 6 28 34 54 94 96 108 166 178 180 220 240 246 268 274	-552032277196
SPT(16)	2290531390008323347	0 40 54 96 120 130 160 166 204 210 240 250 274 316 330 370	-322346268622
SPT(16)	2290531495268185369	0 18 28 40 70 78 82 90 202 210 214 222 252 264 274 292	-217086406600
STPT(10)	2290531607299202087	0 2 60 62 72 74 84 86 144 146	-105055389882
STPT(10)	2290531965683218847	0 2 42 44 72 74 102 104 144 146	253328626878
STPT(10)	2290532235221074259	0 2 48 50 60 62 72 74 120 122	522866482290
SPT(16)	2290532419322215661	0 6 50 60 110 146 150 152 216 218 222 258 308 318 362 368	706967623692
SPT(16)	2290532854016867729	0 14 20 90 132 140 164 210 254 300 324 332 374 444 450 464	1141662275760
STPT(10)	2290533637568141429	0 2 48 50 60 62 72 74 120 122	1925213549460