Prime p₀= 822603892220751461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JagDoc
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	822602581646484823	0 84 100 130 148 150 204 210 214 220 274 276 294 324 340 424	-1310574266638
STPT(10)	822602796361002929	0 2 18 20 30 32 42 44 60 62	-1095859748532
SPT(16)	822603313556724169	0 10 18 28 78 82 120 144 148 172 210 214 264 274 282 292	-578664027292
SPT(16)	822603319305550859	0 48 98 114 128 174 194 200 222 228 248 294 308 324 374 422	-572915200602
TPT(14)	822603577053675449	0 2 30 32 42 44 60 62 90 92 168 170 240 242	-315167076012
SPT(16)	822603650562812593	0 18 24 46 94 114 186 210 244 268 340 360 408 430 436 454	-241657938868
SPT(16)	822604379780139499	0 12 28 54 60 72 88 90 112 114 130 142 148 174 190 202	487559388038
SPT(16)	822604394612783071	0 6 72 78 100 108 112 126 142 156 160 168 190 196 262 268	502392031610
SPT(16)	822604548978251749	0 28 34 40 48 132 154 160 162 168 190 274 282 288 294 322	656757500288
STPT(10)	822605392753917467	0 2 60 62 102 104 144 146 204 206	1500533166006
SPT(16)	822605607601457221	0 42 58 112 168 216 246 258 310 322 352 400 456 510 526 568	1715380705760