Prime p₀= 1084974567524574371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 136 2 136 2 28 2 (?)
a_n: 0 2 30 32 168 170 306 308 336 338
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: 338
Found by: crashtech
db: batch=76, k=10, 2 28 2 136 2

SPT(16)	1084974012906682537	0 4 66 70 100 112 126 162 184 220 234 246 276 280 342 346	-554617891834
SPT(16)	1084974138091814567	0 6 80 104 120 150 174 186 230 242 266 296 312 336 410 416	-429432759804
STPT(10)	1084974139484453039	0 2 48 50 90 92 132 134 180 182	-428040121332
STPT(12)	1084974141796717607	0 2 12 14 24 26 30 32 42 44 54 56	-425727856764
STPT(10)	1084974366661694459	0 2 18 20 30 32 42 44 60 62	-200862879912
TPT(14)	1084974548907352679	0 2 78 80 90 92 162 164 168 170 252 254 288 290	-18617221692
TPT(14)	1084974792999861821	0 2 30 32 36 38 78 80 126 128 156 158 180 182	225475287450
SPT(16)	1084974949809529981	0 28 52 60 66 118 132 142 186 196 210 262 268 276 300 328	382284955610
SPT(16)	1084975205613299233	0 30 34 48 58 88 168 184 270 286 366 396 406 420 424 454	638088724862
STPT(10)	1084975260570856307	0 2 42 44 72 74 102 104 144 146	693046281936
SPT(16)	1084975586252450311	0 6 30 58 66 72 100 132 136 168 196 202 210 238 262 268	1018727875940