Prime p₀= 1115111500004183597 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(18)	1115110033975282409	0 44 74 114 120 150 162 182 198 374 390 410 422 452 458 498 528 572	-1466028901188
STPT(10)	1115110642222189799	0 2 18 20 30 32 42 44 60 62	-857781993798
STPT(10)	1115110785423235199	0 2 18 20 30 32 42 44 60 62	-714580948398
STPT(10)	1115111270844627149	0 2 18 20 30 32 42 44 60 62	-229159556448
STPT(10)	1115111326266698741	0 2 120 122 138 140 156 158 276 278	-173737484856
SPT(16)	1115111329490619563	0 6 20 26 60 98 104 114 170 180 186 224 258 264 278 284	-170513564034
SPT(16)	1115111737523134531	0 10 22 42 66 90 126 160 162 196 232 256 280 300 312 322	237518950934
STPT(10)	1115111793725990897	0 2 12 14 72 74 132 134 144 146	293721807300
SPT(16)	1115111865384796283	0 30 36 90 114 116 140 144 170 174 198 200 224 278 284 314	365380612686
SPT(16)	1115111971307425547	0 36 54 80 84 86 114 140 180 206 234 236 240 266 284 320	471303241950
STPT(10)	1115112154794447581	0 2 30 32 78 80 126 128 156 158	654790263984