Prime p₀= 1356519004930270799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: Odicin
db: batch=77, k=10, 2 46 2 10 2

SPT(16)	1356516961786469971	0 46 48 66 130 178 180 186 202 208 210 258 322 340 342 388	-2043143800828
SPT(16)	1356517346126704109	0 14 32 78 84 164 192 204 248 260 288 368 374 420 438 452	-1658803566690
SPT(16)	1356517436337324697	0 34 64 72 106 120 130 142 174 186 196 210 244 252 282 316	-1568592946102
STPT(12)	1356517862768013677	0 2 12 14 30 32 114 116 132 134 144 146	-1142162257122
SPT(16)	1356518666782999453	0 4 6 34 54 96 156 160 264 268 328 370 390 418 420 424	-338147271346
SPT(16)	1356518888537541779	0 8 30 42 78 98 108 120 122 134 144 164 200 212 234 242	-116392729020
SPT(16)	1356519223516289191	0 16 52 102 118 126 190 192 196 198 262 270 286 336 372 388	218586018392
STPT(10)	1356519284505789137	0 2 24 26 42 44 60 62 84 86	279575518338
SPT(16)	1356519498128900551	0 6 78 90 106 108 120 252 286 418 430 432 448 460 532 538	493198629752
SPT(16)	1356519720654304963	0 18 66 70 78 100 130 150 184 204 234 256 264 268 316 334	715724034164
STPT(10)	1356519959179798661	0 2 6 8 108 110 210 212 216 218	954249527862