Prime p₀= 2850540040441097747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JonS
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2850538805530026617	0 12 14 90 96 102 140 144 152 156 194 200 206 282 284 296	-1234911071130
STPT(10)	2850539020331246999	0 2 18 20 30 32 42 44 60 62	-1020109850748
STPT(10)	2850539092829443571	0 2 6 8 48 50 90 92 96 98	-947611654176
TPT(14)	2850539137308907547	0 2 24 26 60 62 282 284 294 296 390 392 462 464	-903132190200
SPT(16)	2850539673500280667	0 76 90 96 100 142 202 280 306 384 444 486 490 496 510 586	-366940817080
SPT(16)	2850539990085043259	0 24 84 108 110 128 138 152 180 194 204 222 224 248 308 332	-50356054488
STPT(10)	2850540232560461447	0 2 30 32 42 44 54 56 84 86	192119363700
STPT(10)	2850540605919603671	0 2 6 8 48 50 90 92 96 98	565478505924
SPT(16)	2850540876874373759	0 20 32 38 42 62 98 102 110 114 150 170 174 180 192 212	836433276012
STPT(10)	2850541210405098179	0 2 12 14 30 32 48 50 60 62	1169964000432
SPT(16)	2850541502620794167	0 12 26 50 92 146 152 162 230 240 246 300 342 366 380 392	1462179696420