Prime p₀= 2147420642515603751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2147419711136934229	0 10 42 48 94 108 154 228 244 318 364 378 424 430 462 472	-931378669522
TPT(14)	2147419722362461121	0 2 78 80 168 170 306 308 318 320 408 410 498 500	-920153142630
STPT(10)	2147419781437554707	0 2 30 32 72 74 114 116 144 146	-861078049044
SPT(16)	2147419933193423321	0 68 80 90 102 138 140 146 192 198 200 236 248 258 270 338	-709322180430
STPT(10)	2147420268122575217	0 2 72 74 102 104 132 134 204 206	-374393028534
SPT(16)	2147420405049194993	0 6 26 50 78 86 110 120 146 156 180 188 216 240 260 266	-237466408758
STPT(10)	2147420880805386971	0 2 36 38 78 80 120 122 156 158	238289783220
STPT(10)	2147421374535446621	0 2 126 128 138 140 150 152 276 278	732019842870
SPT(16)	2147421959911498723	0 10 36 40 70 78 144 186 238 280 346 354 384 388 414 424	1317395894972
STPT(10)	2147421983178358067	0 2 24 26 42 44 60 62 84 86	1340662754316
SPT(16)	2147422372132548157	0 10 12 30 34 36 52 124 192 264 280 282 286 304 306 316	1729616944406