Prime p₀= 2961035867698378427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2961034991775784211	0 2 36 38 78 80 120 122 156 158	-875922594216
STPT(10)	2961035041316920427	0 2 30 32 72 74 114 116 144 146	-826381458000
STPT(10)	2961035367030616661	0 2 30 32 78 80 126 128 156 158	-500667761766
SPT(16)	2961035509160541143	0 8 36 56 60 90 108 126 308 326 344 374 378 398 426 434	-358537837284
STPT(10)	2961035542935880367	0 2 12 14 42 44 72 74 84 86	-324762498060
SPT(16)	2961035855024082497	0 30 32 56 96 110 120 176 330 386 396 410 450 474 476 506	-12674295930
SPT(16)	2961036075433208261	0 2 20 66 90 108 126 132 266 272 290 308 332 378 396 398	207734829834
TPT(14)	2961036226919173901	0 2 78 80 120 122 240 242 318 320 330 332 366 368	359220795474
SPT(16)	2961036335041220143	0 10 66 94 114 130 144 180 184 220 234 250 270 298 354 364	467342841716
SPT(16)	2961036705006683911	0 18 88 130 132 168 192 210 220 238 262 298 300 342 412 430	837308305484
SPT(16)	2961037027665062033	0 20 48 80 114 150 164 206 318 360 374 410 444 476 504 524	1159966683606