Prime p₀= 1262344577740268567 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: Coleslaw
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1262343626741569439	0 68 140 144 158 210 224 260 288 324 338 390 404 408 480 548	-950998699128
SPT(16)	1262343778041029653	0 6 16 28 84 88 100 106 138 144 156 160 216 228 238 244	-799699238914
SPT(16)	1262343934838673413	0 20 74 84 86 110 116 126 158 168 174 198 200 210 264 284	-642901595154
SPT(16)	1262344189568201447	0 14 32 54 80 120 122 140 204 222 224 264 290 312 330 344	-388172067120
SPT(16)	1262344239338194417	0 12 52 60 126 150 250 270 292 312 412 436 502 510 550 562	-338402074150
SPT(16)	1262344414550624257	0 4 40 90 124 130 132 184 282 334 336 342 376 426 462 466	-163189644310
SPT(16)	1262344614011644643	0 30 44 60 120 168 188 194 204 210 230 278 338 354 368 398	36271376076
STPT(10)	1262344802113879529	0 2 12 14 90 92 168 170 180 182	224373610962
STPT(10)	1262344833035035637	0 2 24 26 42 44 60 62 84 86	255294767070
SPT(16)	1262345011280592979	0 28 60 88 94 102 112 124 138 150 160 168 174 202 234 262	433540324412
STPT(10)	1262345166335973371	0 2 36 38 78 80 120 122 156 158	588595704804