Prime p₀= 1089570061773676937 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: mikey
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1089569102171596001	0 72 86 102 120 140 170 176 222 228 258 278 296 312 326 398	-959602080936
STPT(10)	1089569180483061329	0 2 42 44 60 62 78 80 120 122	-881290615608
TPT(16)	1089569240986594637	0 2 24 26 42 44 90 92 150 152 162 164 174 176 192 194	-820787082300
SPT(16)	1089569478123745961	0 18 60 102 138 158 182 210 248 276 300 320 356 398 440 458	-583649930976
SPT(16)	1089569724057214591	0 10 112 120 132 148 178 190 198 210 240 256 268 276 378 388	-337716462346
SPT(16)	1089569803846727353	0 28 40 66 78 118 126 210 244 328 336 376 388 414 426 454	-257926949584
STPT(10)	1089570248792935331	0 2 36 38 78 80 120 122 156 158	187019258394
SPT(16)	1089570519597481543	0 24 48 58 66 90 94 114 220 240 244 268 276 286 310 334	457823804606
STPT(10)	1089570590386933397	0 2 30 32 42 44 54 56 84 86	528613256460
STPT(10)	1089570801001879907	0 2 42 44 72 74 102 104 144 146	739228202970
STPT(10)	1089570879993834767	0 2 60 62 72 74 84 86 144 146	818220157830