Prime p₀= 2158024165772653229 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 16 2 40 2

STPT(10)	2158022737240944389	0 2 12 14 30 32 48 50 60 62	-1428531708840
TPT(14)	2158023042633217787	0 2 102 104 150 152 222 224 294 296 354 356 360 362	-1123139435442
SPT(16)	2158023092592246263	0 14 20 26 38 44 66 80 114 128 150 156 168 174 180 194	-1073180406966
TPT(14)	2158023661931620751	0 2 48 50 78 80 168 170 210 212 288 290 366 368	-503841032478
SPT(16)	2158023940823605957	0 4 22 76 100 232 240 300 406 466 474 606 630 684 702 706	-224949047272
SPT(16)	2158023961469409233	0 6 114 144 186 198 200 228 296 324 326 338 380 410 518 524	-204303243996
STPT(10)	2158024238503599671	0 2 6 8 18 20 30 32 36 38	72730946442
SPT(16)	2158024566591522751	0 16 58 66 78 156 162 166 192 196 202 280 292 300 342 358	400818869522
STPT(10)	2158025387077834319	0 2 42 44 90 92 138 140 180 182	1221305181090
STPT(10)	2158025577056801117	0 2 30 32 42 44 54 56 84 86	1411284147888
SPT(16)	2158025825112782483	0 14 36 48 56 126 248 270 374 396 518 588 596 608 630 644	1659340129254