Prime p₀= 2290565529779301959 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=81, k=10, 2 16 2 10 2

SPT(16)	2290563676700403443	0 6 8 26 44 80 120 164 180 224 264 300 318 336 338 344	-1853078898516
STPT(10)	2290564241284235009	0 2 30 32 60 62 90 92 120 122	-1288495066950
SPT(16)	2290564617390361591	0 48 58 76 88 90 102 138 160 196 208 210 222 240 250 298	-912388940368
STPT(10)	2290564798583084921	0 2 30 32 120 122 210 212 240 242	-731196217038
STPT(10)	2290564932484402331	0 2 6 8 18 20 30 32 36 38	-597294899628
STPT(10)	2290565052052310849	0 2 12 14 30 32 48 50 60 62	-477726991110
STPT(10)	2290565657577570797	0 2 30 32 72 74 114 116 144 146	127798268838
SPT(16)	2290565793478686277	0 46 60 114 120 126 142 156 310 324 340 346 352 406 420 466	263699384318
SPT(16)	2290565948481300401	0 8 18 36 38 60 62 80 228 246 248 270 272 290 300 308	418701998442
SPT(16)	2290566277251180557	0 2 6 56 62 90 96 102 110 116 122 150 156 206 210 212	747471878598
STPT(12)	2290566459072014789	0 2 30 32 72 74 78 80 120 122 150 152	929292712830