Prime p₀= 2323084593352547597 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: WTBroughton
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2323082956601863007	0 2 30 32 60 116 132 140 186 194 210 266 294 296 324 326	-1636750684590
TPT(14)	2323083007313445107	0 2 42 44 84 86 150 152 162 164 174 176 234 236	-1586039102490
SPT(16)	2323083767544057569	0 44 62 90 98 104 122 132 140 150 168 174 182 210 228 272	-825808490028
STPT(10)	2323083944344577459	0 2 12 14 90 92 168 170 180 182	-649007970138
SPT(16)	2323084147805086789	0 28 40 54 60 114 118 138 160 180 184 238 244 258 270 298	-445547460808
SPT(16)	2323084342561781531	0 12 38 68 78 90 108 110 120 122 140 152 162 192 218 230	-250790766066
STPT(10)	2323085025765261809	0 2 18 20 60 62 102 104 120 122	432412714212
SPT(16)	2323085271068534243	0 56 98 140 174 194 218 230 264 276 300 320 354 396 438 494	677715986646
SPT(16)	2323085271346844713	0 16 36 70 100 190 210 238 276 304 324 414 444 478 498 514	677994297116
STPT(10)	2323085373881706191	0 2 6 8 18 20 30 32 36 38	780529158594
SPT(16)	2323085410225964807	0 2 86 104 114 140 150 156 230 236 246 272 282 300 384 386	816873417210