Prime p₀= 2329503162885784157 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2329501862230419281	0 48 80 140 198 216 230 236 270 276 290 308 366 426 458 506	-1300655364876
SPT(16)	2329502063048697553	0 18 60 64 84 90 118 168 196 246 274 280 300 304 346 364	-1099837086604
SPT(16)	2329502531396419987	0 4 6 24 54 70 76 154 156 234 240 256 286 304 306 310	-631489364170
SPT(16)	2329502589682306669	0 42 70 100 114 124 138 142 180 184 198 208 222 252 280 322	-573203477488
SPT(16)	2329502741522159447	0 12 54 72 84 104 150 182 324 356 402 422 434 452 494 506	-421363624710
STPT(10)	2329503159097214069	0 2 12 14 30 32 48 50 60 62	-3788570088
STPT(10)	2329503345176105669	0 2 18 20 30 32 42 44 60 62	182290321512
SPT(16)	2329503725086335701	0 38 72 116 186 198 210 236 282 308 320 332 402 446 480 518	562200551544
STPT(10)	2329503816982788491	0 2 36 38 108 110 180 182 216 218	654097004334
TPT(14)	2329504099098449849	0 2 30 32 42 44 132 134 162 164 168 170 198 200	936212665692
STPT(10)	2329504501436523371	0 2 36 38 78 80 120 122 156 158	1338550739214