Prime p₀= 23118093950225777 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: ChelseaOilman
db: batch=65, k=10, 2 22 2 16 2

SPT(14)	23118030082407199	0 24 78 88 90 114 130 132 148 172 174 184 238 262	-63867818578
SPT(14)	23118038932132063	0 10 34 64 66 78 90 184 196 208 210 240 264 274	-55018093714
SPT(14)	23118041693800189	0 10 22 34 42 52 64 78 90 100 108 120 132 142	-52256425588
SPT(14)	23118051730992541	0 42 60 66 70 72 100 108 136 138 142 148 166 208	-42219233236
SPT(14)	23118065668111949	0 14 20 72 80 150 170 174 194 264 272 324 330 344	-28282113828
SPT(14)	23118091345528577	0 2 14 26 72 90 110 186 206 224 270 282 294 296	-2604697200
STPT(10)	23118106061395307	0 2 30 32 42 44 54 56 84 86	12111169530
TPT(14)	23118165408039617	0 2 12 14 60 62 84 86 114 116 144 146 210 212	71457813840
SPT(14)	23118165831432779	0 50 72 78 84 104 162 170 228 248 254 260 282 332	71881207002
STPT(10)	23118168566800127	0 2 60 62 72 74 84 86 144 146	74616574350
TPT(12)	23118189112280219	0 2 18 20 102 104 138 140 192 194 198 200	95162054442