Prime p₀= 961814964470625677 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	961813562951097223	0 28 34 90 94 156 184 210 274 300 328 390 394 450 456 484	-1401519528454
STPT(12)	961813653094757159	0 2 12 14 30 32 72 74 90 92 102 104	-1311375868518
STPT(10)	961813660829519747	0 2 12 14 72 74 132 134 144 146	-1303641105930
SPT(16)	961814365319754109	0 10 42 102 114 142 160 220 234 294 312 340 352 412 444 454	-599150871568
SPT(13)	961814891795571857	0 60 66 72 120 150 156 162 192 240 246 252 312	-72675053820
STPT(10)	961814917887139409	0 2 30 32 60 62 90 92 120 122	-46583486268
STPT(10)	961815061043182469	0 2 12 14 30 32 48 50 60 62	96572556792
STPT(10)	961815170808032657	0 2 30 32 42 44 54 56 84 86	206337406980
SPT(16)	961815393519184661	0 2 18 62 66 72 80 86 162 168 176 182 186 230 246 248	429048558984
STPT(10)	961815563099060639	0 2 12 14 30 32 48 50 60 62	598628434962
SPT(16)	961815691491892639	0 12 24 58 72 78 100 120 142 162 184 190 204 238 250 262	727021266962