Prime p₀= 741126835863007367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Theadalus
db: batch=73, k=10, 2 52 2 16 2

SPT(16)	741125845606833787	0 52 72 112 162 190 234 276 370 412 456 484 534 574 594 646	-990256173580
STPT(10)	741125851385796089	0 2 12 14 90 92 168 170 180 182	-984477211278
SPT(16)	741126295153976317	0 54 82 102 120 144 180 202 222 244 280 304 322 342 370 424	-540709031050
STPT(12)	741126424768799747	0 2 12 14 30 32 54 56 72 74 84 86	-411094207620
STPT(10)	741126602649868049	0 2 18 20 30 32 42 44 60 62	-233213139318
TPT(14)	741126813820637987	0 2 12 14 30 32 42 44 54 56 114 116 150 152	-22042369380
SPT(16)	741127033972194479	0 2 18 30 42 102 150 224 228 302 350 410 422 434 450 452	198109187112
SPT(16)	741127131042716263	0 24 76 84 96 136 150 156 178 184 198 238 250 258 310 334	295179708896
SPT(16)	741127509164779801	0 10 18 52 60 70 72 82 198 208 210 220 228 262 270 280	673301772434
SPT(16)	741127685693684669	0 74 84 98 102 144 164 188 294 318 338 380 384 398 408 482	849830677302
SPT(16)	741127718037044759	0 44 102 120 192 200 212 218 234 240 252 260 332 350 408 452	882174037392