Prime p₀= 774975326674716689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]steini
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	774974650547941601	0 2 6 8 18 20 30 32 36 38	-676126775088
SPT(16)	774974911731537499	0 22 24 54 90 120 168 190 222 244 292 322 358 388 390 412	-414943179190
SPT(16)	774975068740361309	0 2 30 42 62 80 90 98 174 182 192 210 230 242 270 272	-257934355380
STPT(10)	774975118260112697	0 2 12 14 132 134 252 254 264 266	-208414603992
SPT(16)	774975122040696667	0 30 34 82 102 156 184 216 220 252 280 334 354 402 406 436	-204634020022
SPT(16)	774975182553012733	0 4 10 28 66 70 96 106 168 178 204 208 246 264 270 274	-144121703956
SPT(16)	774975331387017493	0 24 40 46 78 108 120 126 148 154 166 196 228 234 250 274	4712300804
SPT(16)	774975565151167409	0 12 60 78 212 254 278 284 288 294 318 360 494 512 560 572	238476450720
SPT(16)	774975750524670139	0 4 18 82 142 172 210 294 298 382 420 450 510 574 588 592	423849953450
STPT(10)	774975802412699957	0 2 24 26 42 44 60 62 84 86	475737983268
TPT(14)	774976083456625241	0 2 90 92 168 170 198 200 228 230 240 242 246 248	756781908552