Prime p₀= 1022496083893183379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1022494823300342221	0 18 30 78 88 100 102 112 156 166 168 180 190 238 250 268	-1260592841158
STPT(12)	1022495451435136451	0 2 48 50 78 80 90 92 120 122 168 170	-632458046928
SPT(16)	1022495631355095011	0 6 36 38 48 60 90 116 132 158 188 200 210 212 242 248	-452538088368
SPT(16)	1022495694685891513	0 6 16 76 84 90 118 120 154 156 184 190 198 258 268 274	-389207291866
STPT(10)	1022495777956423889	0 2 18 20 30 32 42 44 60 62	-305936759490
STPT(10)	1022495860635819539	0 2 12 14 30 32 48 50 60 62	-223257363840
SPT(16)	1022496207082397273	0 30 50 66 78 98 140 158 168 186 228 248 260 276 296 326	123189213894
TPT(14)	1022496359984250257	0 2 54 56 84 86 120 122 192 194 210 212 234 236	276091066878
SPT(16)	1022496398102665097	0 50 54 56 110 156 170 176 210 216 230 276 330 332 336 386	314209481718
STPT(10)	1022496462785865437	0 2 30 32 42 44 54 56 84 86	378892682058
SPT(16)	1022496576462796957	0 22 34 42 124 126 142 196 210 264 280 282 364 372 384 406	492569613578