Prime p₀= 3000178111652548007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3000177392713251011	0 18 72 86 188 198 252 296 342 386 440 450 552 566 620 638	-718939296996
SPT(16)	3000177476803313509	0 24 40 42 108 112 148 150 262 264 300 304 370 372 388 412	-634849234498
STPT(10)	3000177516661799561	0 2 6 8 48 50 90 92 96 98	-594990748446
SPT(16)	3000177524167281629	0 2 12 30 44 54 68 72 80 84 98 108 122 140 150 152	-587485266378
SPT(16)	3000178022397123881	0 20 42 96 132 140 176 188 210 222 258 266 302 356 378 398	-89255424126
STPT(10)	3000178098410057207	0 2 30 32 42 44 54 56 84 86	-13242490800
TPT(14)	3000178235998603799	0 2 102 104 198 200 240 242 348 350 390 392 450 452	124346055792
SPT(16)	3000178278746090747	0 42 44 50 56 86 96 110 156 170 180 210 216 222 224 266	167093542740
STPT(10)	3000178400335637111	0 2 90 92 108 110 126 128 216 218	288683089104
SPT(16)	3000178987135616911	0 10 22 30 36 70 72 126 136 190 192 226 232 240 252 262	875483068904
SPT(16)	3000179424820082443	0 16 58 78 100 124 130 154 180 204 210 234 256 276 318 334	1313167534436