Prime p₀= 1268016380999128301 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: Megacruncher
db: batch=77, k=10, 2 28 2 46 2

SPT(20)	1268015137110446489	0 42 44 72 92 120 134 140 144 168 284 308 312 318 332 360 380 408 410 452	-1243888681812
SPT(16)	1268015296903679923	0 16 34 48 58 78 88 114 130 156 166 186 196 210 228 244	-1084095448378
STPT(10)	1268015409652954559	0 2 42 44 60 62 78 80 120 122	-971346173742
STPT(10)	1268015763111115517	0 2 42 44 72 74 102 104 144 146	-617888012784
SPT(16)	1268016301122728783	0 20 26 48 54 66 110 140 204 234 278 290 296 318 324 344	-79876399518
SPT(16)	1268016315031314053	0 24 30 74 86 150 156 164 360 368 374 438 450 494 500 524	-65967814248
SPT(16)	1268016962693135989	0 48 52 54 94 130 154 162 220 228 252 288 328 330 334 382	581694007688
SPT(16)	1268016988903022591	0 48 62 72 80 128 156 162 176 182 210 258 266 276 290 338	607903894290
SPT(16)	1268017058301551269	0 4 12 40 48 60 64 78 214 228 232 244 252 280 288 292	677302422968
SPT(16)	1268017069508973233	0 6 36 38 48 50 80 108 158 186 216 218 228 230 260 266	688509844932
SPT(16)	1268017088185069289	0 2 12 48 60 74 110 134 138 162 198 212 224 260 270 272	707185940988