Prime p₀= 3016088998676282531 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: ginga
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	3016087684806370507	0 4 12 42 82 124 126 222 244 340 342 384 424 454 462 466	-1313869912024
STPT(10)	3016087747199459729	0 2 18 20 30 32 42 44 60 62	-1251476822802
TPT(14)	3016087824976027271	0 2 30 32 66 68 120 122 150 152 156 158 240 242	-1173700255260
SPT(16)	3016088010242641679	0 14 20 38 42 44 72 92 120 140 168 170 174 192 198 212	-988433640852
SPT(16)	3016088496058436299	0 4 18 22 30 34 70 90 112 132 168 172 180 184 198 202	-502617846232
STPT(10)	3016088803134658871	0 2 6 8 48 50 90 92 96 98	-195541623660
SPT(16)	3016089039066428669	0 14 32 42 60 78 92 114 308 330 344 362 380 390 408 422	40390146138
SPT(16)	3016089577717112927	0 6 56 116 156 162 176 246 266 336 350 356 396 456 506 512	579040830396
TPT(14)	3016089601708214987	0 2 72 74 114 116 222 224 300 302 312 314 324 326	603031932456
SPT(16)	3016090602523695707	0 24 30 54 62 72 96 104 132 140 164 174 182 206 212 236	1603847413176
STPT(10)	3016090714761038219	0 2 42 44 90 92 138 140 180 182	1716084755688