Prime p₀= 787725803549808437 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]FX
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	787725235429189093	0 40 54 66 144 210 234 270 274 310 334 400 478 490 504 544	-568120619344
SPT(16)	787725506286381601	0 42 168 180 198 208 220 276 352 408 420 430 448 460 586 628	-297263426836
SPT(20)	787725535880723711	0 6 32 36 50 78 90 108 126 146 162 182 200 218 230 258 272 276 302 308	-267669084726
STPT(10)	787725580056448601	0 2 36 38 138 140 240 242 276 278	-223493359836
TPT(14)	787725663132062537	0 2 42 44 84 86 120 122 192 194 252 254 282 284	-140417745900
SPT(16)	787725695578830263	0 24 78 90 104 140 150 164 234 248 258 294 308 320 374 398	-107970978174
SPT(16)	787726037773966531	0 58 66 70 88 118 136 142 186 192 210 240 258 262 270 328	234224158094
STPT(10)	787726459112709209	0 2 42 44 60 62 78 80 120 122	655562900772
STPT(10)	787726460882028719	0 2 18 20 60 62 102 104 120 122	657332220282
SPT(16)	787726555635759821	0 6 12 30 48 102 116 182 186 252 266 320 338 356 362 368	752085951384
STPT(10)	787726569073650461	0 2 78 80 168 170 258 260 336 338	765523842024