Prime p₀= 1137780214677487817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Theadalus
db: batch=76, k=10, 2 58 2 40 2

SPT(16)	1137779384963899219	0 42 54 58 64 84 112 124 138 150 178 198 204 208 220 262	-829713588598
SPT(16)	1137779415276344641	0 126 160 202 220 258 316 360 388 432 490 528 546 588 622 748	-799401143176
STPT(12)	1137779521368145259	0 2 30 32 42 44 48 50 60 62 90 92	-693309342558
SPT(16)	1137779615664572591	0 12 50 62 78 128 132 140 210 218 222 272 288 300 338 350	-599012915226
SPT(16)	1137779903402475107	0 42 62 80 104 110 120 162 164 206 216 222 246 264 284 326	-311275012710
SPT(16)	1137780006379999159	0 48 52 58 90 100 102 108 154 160 162 172 204 210 214 262	-208297488658
STPT(10)	1137780568072622207	0 2 30 32 42 44 54 56 84 86	353395134390
STPT(10)	1137780658712213039	0 2 18 20 30 32 42 44 60 62	444034725222
STPT(10)	1137780731094959069	0 2 18 20 30 32 42 44 60 62	516417471252
SPT(16)	1137780779511495619	0 24 40 42 58 70 90 100 132 142 162 174 190 192 208 232	564834007802
TPT(14)	1137780877708379291	0 2 6 8 90 92 126 128 156 158 186 188 228 230	663030891474