Prime p₀= 2355522957255647951 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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=81, k=10, 2 28 2 46 2

SPT(16)	2355521988217800583	0 18 70 88 90 108 130 136 210 216 238 256 258 276 328 346	-969037847368
STPT(10)	2355522031292244497	0 2 42 44 72 74 102 104 144 146	-925963403454
STPT(10)	2355522173188179767	0 2 90 92 102 104 114 116 204 206	-784067468184
SPT(16)	2355522178710581053	0 40 60 76 136 150 160 196 270 306 316 330 390 406 426 466	-778545066898
STPT(10)	2355522432267347009	0 2 42 44 60 62 78 80 120 122	-524988300942
SPT(16)	2355522436159119371	0 60 102 110 126 132 156 170 198 212 236 242 258 266 308 368	-521096528580
STPT(10)	2355522962032607357	0 2 42 44 72 74 102 104 144 146	4776959406
TPT(14)	2355523019460256949	0 2 18 20 30 32 90 92 162 164 288 290 312 314	62204608998
SPT(16)	2355523027151474597	0 30 32 114 120 152 162 180 344 362 372 404 410 492 494 524	69895826646
STPT(10)	2355523323426537767	0 2 24 26 42 44 60 62 84 86	366170889816
STPT(10)	2355523652378527451	0 2 6 8 18 20 30 32 36 38	695122879500