Prime p₀= 1092463429792149599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1092461378716160807	0 2 54 56 132 134 210 212 264 266	-2051075988792
SPT(16)	1092461850593204317	0 4 42 90 102 114 130 132 142 144 160 172 184 232 270 274	-1579198945282
SPT(16)	1092462157869305647	0 22 42 64 90 112 124 162 172 210 222 244 270 292 312 334	-1271922843952
SPT(16)	1092462567822628909	0 48 88 90 100 114 168 190 222 244 298 312 322 324 364 412	-861969520690
STPT(10)	1092463082045675441	0 2 6 8 48 50 90 92 96 98	-347746474158
TPT(14)	1092463374527413871	0 2 36 38 78 80 210 212 306 308 360 362 378 380	-55264735728
TPT(14)	1092463472299558421	0 2 126 128 138 140 228 230 240 242 270 272 318 320	42507408822
SPT(16)	1092463509367435991	0 18 30 32 38 92 120 132 158 170 198 252 258 260 272 290	79575286392
SPT(16)	1092463848742478351	0 18 66 102 122 132 182 188 210 216 266 276 296 332 380 398	418950328752
STPT(10)	1092463858479095699	0 2 18 20 60 62 102 104 120 122	428686946100
SPT(16)	1092463981098968927	0 14 30 42 92 120 122 126 290 294 296 324 374 386 402 416	551306819328