Prime p₀= 2005021024538891501 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: MechWarrior
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2005019710013202889	0 34 154 222 244 264 292 300 304 312 340 360 382 450 570 604	-1314525688612
SPT(16)	2005020108396348049	0 12 88 90 114 130 132 174 178 220 222 238 262 264 340 352	-916142543452
STPT(10)	2005020367363750349	0 2 18 20 30 32 42 44 60 62	-657175141152
STPT(10)	2005020499634023757	0 2 54 56 72 74 90 92 144 146	-524904867744
SPT(16)	2005020534582947899	0 10 12 70 72 90 94 150 292 348 352 370 372 430 432 442	-489955943602
SPT(16)	2005021001792850649	0 28 34 88 112 130 142 160 192 210 222 240 264 318 324 352	-22746040852
STPT(10)	2005021199568754091	0 2 6 8 48 50 90 92 96 98	175029862590
STPT(10)	2005021242789323021	0 2 6 8 48 50 90 92 96 98	218250431520
STPT(10)	2005021841418724241	0 2 36 38 78 80 120 122 156 158	816879832740
STPT(10)	2005021896949902461	0 2 36 38 78 80 120 122 156 158	872411010960
SPT(16)	2005022046489143153	0 26 30 44 86 110 120 146 198 224 234 258 300 314 318 344	1021950251652