Prime p₀= 838915800008956697 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: ChelseaOilman
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	838914734413566359	0 8 14 38 50 120 138 204 224 290 308 378 390 414 420 428	-1065595390338
SPT(16)	838914915691179941	0 32 48 60 98 108 120 162 188 230 242 252 290 302 318 350	-884317776756
SPT(16)	838915017761512319	0 12 18 38 68 78 102 122 138 158 182 192 222 242 248 260	-782247444378
SPT(16)	838915159458464887	0 52 54 82 106 126 154 166 210 222 250 270 294 322 324 376	-640550491810
SPT(16)	838915719164734927	0 4 24 70 102 126 132 136 150 154 160 184 216 262 282 286	-80844221770
STPT(10)	838915781432231639	0 2 42 44 90 92 138 140 180 182	-18576725058
SPT(16)	838915846940966477	0 14 44 72 90 152 182 242 282 342 372 434 452 480 510 524	46932009780
STPT(12)	838916253658691291	0 2 66 68 96 98 180 182 210 212 276 278	453649734594
STPT(10)	838916378469825707	0 2 30 32 102 104 174 176 204 206	578460869010
STPT(10)	838916608907590319	0 2 42 44 120 122 198 200 240 242	808898633622
STPT(10)	838916756600122271	0 2 36 38 78 80 120 122 156 158	956591165574