Prime p₀= 3023428059763254461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 58 2

STPT(10)	3023427361733230337	0 2 54 56 72 74 90 92 144 146	-698030024124
SPT(16)	3023427827023439321	0 2 50 66 132 146 156 162 176 182 192 206 272 288 336 338	-232739815140
SPT(16)	3023427868281467399	0 12 30 32 60 78 98 114 158 174 194 212 240 242 260 272	-191481787062
STPT(10)	3023427879411161741	0 2 36 38 78 80 120 122 156 158	-180352092720
STPT(12)	3023428005093644969	0 2 30 32 78 80 252 254 300 302 330 332	-54669609492
TPT(14)	3023428005093644969	0 2 30 32 78 80 252 254 300 302 330 332 450 452	-54669609492
TPT(14)	3023429573544286451	0 2 30 32 138 140 180 182 198 200 228 230 270 272	1513781031990
STPT(10)	3023429657581655627	0 2 30 32 42 44 54 56 84 86	1597818401166
STPT(10)	3023430389110542737	0 2 42 44 72 74 102 104 144 146	2329347288276
STPT(10)	3023431837056963107	0 2 12 14 42 44 72 74 84 86	3777293708646
SPT(16)	3023431931430800249	0 2 8 44 50 68 78 84 98 104 114 132 138 174 180 182	3871667545788