Prime p₀= 1233806488046284037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Dr Who Fan
db: batch=77, k=10, 2 52 2 76 2

TPT(14)	1233803772988185911	0 2 30 32 108 110 120 122 210 212 246 248 336 338	-2715058098126
SPT(16)	1233804247508582501	0 12 20 38 42 56 66 108 110 152 162 176 180 198 206 218	-2240537701536
STPT(10)	1233804749413382351	0 2 6 8 18 20 30 32 36 38	-1738632901686
SPT(16)	1233804806380453547	0 50 74 102 144 272 312 314 372 374 414 542 584 612 636 686	-1681665830490
STPT(10)	1233805243111801271	0 2 6 8 18 20 30 32 36 38	-1244934482766
SPT(16)	1233805505950186747	0 12 30 42 64 90 100 180 184 264 274 300 322 334 352 364	-982096097290
STPT(10)	1233806593811823929	0 2 42 44 60 62 78 80 120 122	105765539892
STPT(10)	1233806651297810801	0 2 30 32 78 80 126 128 156 158	163251526764
SPT(16)	1233806664384820769	0 20 38 92 104 144 168 224 228 284 308 348 360 414 432 452	176338536732
STPT(10)	1233806881794206087	0 2 30 32 42 44 54 56 84 86	393747922050
SPT(16)	1233807001310517317	0 6 14 50 66 92 102 140 186 224 234 260 276 312 320 326	513264233280