Prime p₀= 1235279942851733729 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: marmot
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1235277890531999681	0 2 6 8 48 50 90 92 96 98	-2052319734048
STPT(10)	1235277929086345757	0 2 90 92 132 134 174 176 264 266	-2013765387972
SPT(16)	1235278581679151101	0 22 52 58 60 66 138 162 256 280 352 358 360 366 396 418	-1361172582628
SPT(20)	1235279004175079789	0 18 24 38 74 78 80 98 158 200 258 300 360 378 380 384 420 434 440 458	-938676653940
SPT(16)	1235279488300980359	0 18 24 30 68 74 98 144 164 210 234 240 278 284 290 308	-454550753370
SPT(16)	1235279537316495991	0 6 36 46 78 102 108 112 126 130 136 160 192 202 232 238	-405535237738
SPT(16)	1235280020589127291	0 18 30 36 52 60 70 136 162 228 238 246 262 268 280 298	77737393562
SPT(16)	1235280087673007417	0 6 20 26 44 56 104 132 164 192 240 252 270 276 290 296	144821273688
STPT(12)	1235280201018910091	0 2 36 38 48 50 78 80 90 92 126 128	258167176362
STPT(10)	1235280203017042979	0 2 18 20 30 32 42 44 60 62	260165309250
SPT(16)	1235280205345927913	0 6 20 78 90 96 144 200 204 260 308 314 326 384 398 404	262494194184