Prime p₀= 2121287618733895991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2121286400268336047	0 14 60 90 102 164 180 200 216 236 252 314 326 356 402 416	-1218465559944
SPT(16)	2121286582439406787	0 82 174 210 220 234 250 312 334 396 412 426 436 472 564 646	-1036294489204
TPT(14)	2121286806677559089	0 2 30 32 60 62 132 134 162 164 252 254 258 260	-812056336902
TPT(14)	2121286869912598691	0 2 18 20 78 80 90 92 120 122 186 188 216 218	-748821297300
STPT(10)	2121286998347719751	0 2 6 8 48 50 90 92 96 98	-620386176240
STPT(10)	2121287574119199041	0 2 6 8 48 50 90 92 96 98	-44614696950
SPT(16)	2121288025528949257	0 4 12 24 52 54 66 82 84 100 112 114 142 154 162 166	406795053266
SPT(16)	2121288534746004079	0 22 54 58 120 162 208 234 238 264 310 352 414 418 450 472	916012108088
SPT(16)	2121288791164476091	0 30 36 48 72 120 130 138 190 198 208 256 280 292 298 328	1172430580100
TPT(14)	2121289063570507007	0 2 90 92 114 116 144 146 204 206 240 242 282 284	1444836611016
STPT(10)	2121289242655616777	0 2 42 44 72 74 102 104 144 146	1623921720786