Prime p₀= 2327587609125957557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2327585339432506427	0 36 44 54 72 74 80 86 150 156 162 164 182 192 200 236	-2269693451130
SPT(16)	2327585340824588023	0 36 46 88 114 154 166 180 274 288 300 340 366 408 418 454	-2268301369534
STPT(10)	2327585893616752757	0 2 42 44 102 104 162 164 204 206	-1715509204800
STPT(10)	2327586470948177609	0 2 42 44 60 62 78 80 120 122	-1138177779948
SPT(16)	2327587170814612261	0 22 42 48 88 168 190 192 196 198 220 300 340 346 366 388	-438311345296
SPT(16)	2327587355001757549	0 18 52 60 108 112 184 220 282 318 390 394 442 450 484 502	-254124200008
STPT(10)	2327587845992976557	0 2 12 14 42 44 72 74 84 86	236867019000
SPT(16)	2327588001721921849	0 28 84 88 94 124 138 150 172 184 198 228 234 238 294 322	392595964292
STPT(10)	2327588037401653811	0 2 36 38 78 80 120 122 156 158	428275696254
STPT(10)	2327588110065508229	0 2 42 44 60 62 78 80 120 122	500939550672
STPT(10)	2327588499849752717	0 2 30 32 42 44 54 56 84 86	890723795160