Prime p₀= 1324415067120082097 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1324414323935095201	0 58 72 90 96 118 138 142 156 160 180 202 208 226 240 298	-743184986896
SPT(16)	1324414336094166953	0 20 44 74 86 96 110 126 158 174 188 198 210 240 264 284	-731025915144
SPT(16)	1324414419015467809	0 42 52 72 82 112 120 184 318 382 390 420 430 450 460 502	-648104614288
STPT(12)	1324414424639193647	0 2 12 14 42 44 60 62 90 92 102 104	-642480888450
SPT(16)	1324414654309582723	0 4 10 30 46 96 118 184 210 276 298 348 364 384 390 394	-412810499374
TPT(14)	1324414697756723801	0 2 48 50 90 92 126 128 138 140 228 230 258 260	-369363358296
TPT(14)	1324415134907154809	0 2 72 74 120 122 138 140 180 182 198 200 252 254	67787072712
STPT(10)	1324415409283247387	0 2 12 14 42 44 72 74 84 86	342163165290
SPT(16)	1324415504165030933	0 14 38 74 80 138 164 174 200 210 236 294 300 336 360 374	437044948836
SPT(16)	1324415811806484457	0 4 112 142 166 184 216 222 244 250 282 300 324 354 462 466	744686402360
SPT(16)	1324415915311061917	0 10 100 102 114 120 142 172 204 234 256 262 274 276 366 376	848190979820