Prime p₀= 1083428427385003727 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

SPT(16)	1083426405807259193	0 56 78 110 114 128 144 170 234 260 276 290 294 326 348 404	-2021577744534
SPT(16)	1083426516536360747	0 44 114 132 150 164 204 230 234 260 300 314 332 350 420 464	-1910848642980
SPT(16)	1083427142661497741	0 2 6 56 72 92 98 162 176 240 246 266 282 332 336 338	-1284723505986
STPT(10)	1083427292332441127	0 2 30 32 42 44 54 56 84 86	-1135052562600
SPT(16)	1083427539946450159	0 24 28 42 52 54 84 138 154 208 238 240 250 264 268 292	-887438553568
STPT(10)	1083428117523175181	0 2 6 8 18 20 30 32 36 38	-309861828546
STPT(10)	1083428712445223399	0 2 12 14 90 92 168 170 180 182	285060219672
SPT(16)	1083429056045784257	0 36 50 134 140 176 186 194 276 284 294 330 336 420 434 470	628660780530
STPT(10)	1083429305547629861	0 2 6 8 18 20 30 32 36 38	878162626134
STPT(10)	1083429490258065719	0 2 18 20 30 32 42 44 60 62	1062873061992
SPT(16)	1083429879471462277	0 10 34 54 72 76 94 96 130 132 150 154 172 192 216 226	1452086458550