Prime p₀= 1365005503329065597 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=77, k=10, 2 22 2 16 2

SPT(16)	1365003856589258929	0 42 72 108 124 130 150 154 168 172 192 198 214 250 280 322	-1646739806668
SPT(16)	1365004314625812097	0 40 96 102 142 186 196 216 220 240 250 294 334 340 396 436	-1188703253500
SPT(16)	1365004767418468643	0 20 24 56 60 98 104 108 176 180 186 224 228 260 264 284	-735910596954
TPT(14)	1365005120501883569	0 2 42 44 60 62 102 104 120 122 198 200 252 254	-382827182028
STPT(10)	1365005146234161317	0 2 12 14 72 74 132 134 144 146	-357094904280
SPT(16)	1365005308063203473	0 38 78 80 120 140 146 174 200 228 234 254 294 296 336 374	-195265862124
SPT(16)	1365005725245438901	0 16 28 52 66 76 118 126 202 210 252 262 276 300 312 328	221916373304
SPT(16)	1365005955748945171	0 16 30 60 78 88 102 112 156 166 180 190 208 238 252 268	452419879574
SPT(16)	1365005978322613733	0 36 110 126 144 150 156 168 236 248 254 260 278 294 368 404	474993548136
STPT(10)	1365005978936140337	0 2 24 26 42 44 60 62 84 86	475607074740
STPT(10)	1365006530366650019	0 2 30 32 60 62 90 92 120 122	1027037584422