Prime p₀= 2293680591774937637 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2293679343688964243	0 6 48 84 90 96 108 126 158 176 188 194 200 236 278 284	-1248085973394
STPT(10)	2293679935444770749	0 2 30 32 60 62 90 92 120 122	-656330166888
SPT(16)	2293679968266052559	0 98 162 168 182 200 282 308 384 410 492 510 524 530 594 692	-623508885078
STPT(12)	2293680246701683781	0 2 30 32 60 62 138 140 168 170 198 200	-345073253856
STPT(10)	2293680335252990441	0 2 6 8 18 20 30 32 36 38	-256521947196
SPT(16)	2293680547955485643	0 36 44 104 110 146 164 170 174 180 198 234 240 300 308 344	-43819451994
STPT(10)	2293680719480045801	0 2 6 8 48 50 90 92 96 98	127705108164
SPT(16)	2293680759766824611	0 32 72 80 102 110 122 138 170 186 198 206 228 236 276 308	167991886974
STPT(10)	2293680916078611677	0 2 60 62 102 104 144 146 204 206	324303674040
SPT(16)	2293681374796772231	0 8 12 60 68 102 150 200 228 278 326 360 368 416 420 428	783021834594
SPT(16)	2293681627453750627	0 42 46 66 100 112 120 126 136 142 150 162 196 216 220 262	1035678812990