Prime p₀= 4506239516512572869 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: Dingo
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4506238100964983167	0 12 54 66 70 142 184 196 210 222 264 336 340 352 394 406	-1415547589702
SPT(16)	4506238165787191283	0 50 66 86 114 146 150 176 198 224 228 260 288 308 324 374	-1350725381586
STPT(12)	4506239138676430409	0 2 18 20 42 44 48 50 72 74 90 92	-377836142460
SPT(16)	4506239176832154263	0 38 66 80 104 134 144 150 344 350 360 390 414 428 456 494	-339680418606
TPT(14)	4506239479148390237	0 2 72 74 90 92 102 104 132 134 204 206 282 284	-37364182632
SPT(16)	4506239510490792289	0 10 18 28 42 90 112 118 144 150 172 220 234 244 252 262	-6021780580
SPT(16)	4506239636849556797	0 14 32 50 66 74 90 102 104 116 132 140 156 174 192 206	120336983928
TPT(14)	4506239774203938269	0 2 30 32 72 74 78 80 90 92 132 134 198 200	257691365400
TPT(14)	4506240508728734927	0 2 30 32 60 62 72 74 84 86 114 116 132 134	992216162058
STPT(10)	4506240508728734957	0 2 30 32 42 44 54 56 84 86	992216162088
SPT(16)	4506240569342026421	0 2 56 96 102 152 158 168 200 210 216 266 272 312 366 368	1052829453552