Prime p₀= 1025420477049575609 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: HenkM
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1025419695113285203	0 4 36 54 70 88 106 114 130 138 156 174 190 208 240 244	-781936290406
STPT(12)	1025419731790235459	0 2 12 14 42 44 198 200 228 230 240 242	-745259340150
STPT(10)	1025419747426270121	0 2 30 32 78 80 126 128 156 158	-729623305488
STPT(10)	1025419953850262021	0 2 6 8 18 20 30 32 36 38	-523199313588
SPT(16)	1025420031620583551	0 8 36 38 72 96 108 116 162 170 182 206 240 242 270 278	-445428992058
SPT(16)	1025420367924468727	0 22 52 70 72 100 124 180 334 390 414 442 444 462 492 514	-109125106882
STPT(10)	1025420594341942607	0 2 54 56 72 74 90 92 144 146	117292366998
STPT(10)	1025420690097059981	0 2 6 8 48 50 90 92 96 98	213047484372
SPT(16)	1025420767094355833	0 18 36 50 54 80 84 138 146 200 204 230 234 248 266 284	290044780224
SPT(16)	1025420835942264661	0 40 70 82 96 142 180 190 258 268 306 352 366 378 408 448	358892689052
STPT(10)	1025421156628803749	0 2 12 14 90 92 168 170 180 182	679579228140