Prime p₀= 2296567350380290439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Dirk Broer
db: batch=81, k=10, 2 10 2 76 2

TPT(14)	2296566094015462961	0 2 96 98 156 158 168 170 180 182 228 230 336 338	-1256364827478
STPT(10)	2296566101793697607	0 2 30 32 42 44 54 56 84 86	-1248586592832
SPT(16)	2296566692782389997	0 36 106 112 114 126 144 156 160 172 190 202 204 210 280 316	-657597900442
SPT(16)	2296567008799139467	0 10 52 70 84 100 112 132 154 174 186 202 216 234 276 286	-341581150972
TPT(14)	2296567080482618507	0 2 54 56 90 92 144 146 180 182 222 224 300 302	-269897671932
TPT(14)	2296567214956315979	0 2 12 14 72 74 138 140 228 230 240 242 252 254	-135423974460
SPT(16)	2296567515519208739	0 42 44 78 80 134 140 164 168 192 198 252 254 288 290 332	165138918300
SPT(16)	2296568009732901631	0 18 30 48 72 88 126 150 178 202 240 256 280 298 310 328	659352611192
STPT(10)	2296568020185527117	0 2 12 14 42 44 72 74 84 86	669805236678
SPT(16)	2296568337748250113	0 6 58 70 78 88 100 126 148 174 186 196 204 216 268 274	987367959674
SPT(16)	2296568376901846651	0 16 18 42 58 112 130 132 196 198 216 270 286 310 312 328	1026521556212