Prime p₀= 2954969406300921179 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: Landjunge
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2954968443627718753	0 30 36 46 60 100 114 144 166 196 210 250 264 274 280 310	-962673202426
TPT(14)	2954968455215371667	0 2 90 92 114 116 204 206 372 374 450 452 462 464	-951085549512
STPT(10)	2954969005910841329	0 2 12 14 90 92 168 170 180 182	-400390079850
SPT(16)	2954969009003708219	0 54 90 204 222 230 314 320 372 378 462 470 488 602 638 692	-397297212960
SPT(16)	2954969234690563793	0 68 86 98 110 156 180 216 230 266 290 336 348 360 378 446	-171610357386
SPT(16)	2954969334254603167	0 6 22 46 66 94 106 124 132 150 162 190 210 234 250 256	-72046318012
STPT(10)	2954969612670068171	0 2 6 8 48 50 90 92 96 98	206369146992
SPT(16)	2954969843232374203	0 60 88 90 106 108 120 126 130 136 148 150 166 168 196 256	436931453024
SPT(16)	2954969889217177589	0 38 60 62 72 104 132 164 168 200 228 260 270 272 294 332	482916256410
STPT(10)	2954970049250528921	0 2 78 80 108 110 138 140 216 218	642949607742
STPT(10)	2954970107477297249	0 2 18 20 30 32 42 44 60 62	701176376070