Prime p₀= 2474957878217343707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Sammey19
db: batch=82, k=10, 2 22 2 16 2

SPT(18)	2474955089653370557	0 6 10 24 100 102 120 136 160 186 210 226 244 246 322 336 340 346	-2788563973150
STPT(10)	2474955494035925357	0 2 30 32 72 74 114 116 144 146	-2384181418350
SPT(16)	2474955926217769609	0 24 42 58 72 84 90 142 150 202 208 220 234 250 268 292	-1951999574098
TPT(14)	2474955991063809371	0 2 18 20 60 62 138 140 156 158 180 182 306 308	-1887153534336
STPT(10)	2474956264646744141	0 2 6 8 48 50 90 92 96 98	-1613570599566
TPT(14)	2474957238554942969	0 2 48 50 60 62 78 80 102 104 120 122 282 284	-639662400738
SPT(16)	2474957903533622413	0 30 34 70 84 88 96 100 114 118 126 130 144 180 184 214	25316278706
STPT(10)	2474958173921580131	0 2 36 38 78 80 120 122 156 158	295704236424
SPT(16)	2474958435129638569	0 4 18 24 42 60 94 118 144 168 202 220 238 244 258 262	556912294862
STPT(10)	2474958546302614817	0 2 30 32 42 44 54 56 84 86	668085271110
SPT(16)	2474958711072313159	0 4 28 72 78 88 100 124 168 192 204 214 220 264 288 292	832854969452