Prime p₀= 4506237982068071279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Dingo
db: batch=85, k=10, 2 28 2 28 2

SPT(16)	4506236609705462657	0 32 42 86 90 132 152 156 200 204 224 266 270 314 324 356	-1372362608622
SPT(16)	4506236739175097083	0 28 58 76 114 136 244 268 276 300 408 430 468 486 516 544	-1242892974196
TPT(14)	4506237291477237137	0 2 24 26 84 86 120 122 150 152 180 182 204 206	-690590834142
SPT(16)	4506237732974775023	0 30 48 66 80 146 158 168 188 198 210 276 290 308 326 356	-249093296256
STPT(10)	4506237889704730349	0 2 18 20 60 62 102 104 120 122	-92363340930
SPT(16)	4506237945059485777	0 22 36 46 184 252 346 360 406 420 514 582 720 730 744 766	-37008585502
SPT(16)	4506238100964983167	0 12 54 66 70 142 184 196 210 222 264 336 340 352 394 406	118896911888
SPT(16)	4506238165787191283	0 50 66 86 114 146 150 176 198 224 228 260 288 308 324 374	183719120004
STPT(12)	4506239138676430409	0 2 18 20 42 44 48 50 72 74 90 92	1156608359130
SPT(16)	4506239176832154263	0 38 66 80 104 134 144 150 344 350 360 390 414 428 456 494	1194764082984
TPT(14)	4506239479148390237	0 2 72 74 90 92 102 104 132 134 204 206 282 284	1497080318958