Prime p₀= 2313409871194107779 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: Drago75
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2313408186057047309	0 2 42 44 102 104 138 140 168 170 180 182 192 194	-1685137060470
SPT(16)	2313408262097166877	0 60 70 82 100 102 112 126 130 144 154 156 174 186 196 256	-1609096940902
SPT(16)	2313408380241238613	0 48 98 104 114 116 194 198 296 300 378 380 390 396 446 494	-1490952869166
STPT(10)	2313408395814482567	0 2 30 32 42 44 54 56 84 86	-1475379625212
SPT(16)	2313408457312942777	0 12 30 46 90 100 120 124 162 166 186 196 240 256 274 286	-1413881165002
SPT(16)	2313409649760828667	0 6 42 60 76 100 102 126 130 154 156 180 196 214 250 256	-221433279112
SPT(16)	2313410604460871759	0 8 20 110 134 152 158 174 188 204 210 228 252 342 354 362	733266763980
SPT(16)	2313410877087256147	0 4 6 10 42 60 64 66 130 132 136 154 186 190 192 196	1005893148368
STPT(12)	2313410958928082987	0 2 30 32 42 44 72 74 84 86 114 116	1087733975208
STPT(12)	2313411568361311589	0 2 12 14 42 44 90 92 120 122 132 134	1697167203810
SPT(16)	2313411732881358829	0 108 130 132 150 192 228 264 298 334 370 412 430 432 454 562	1861687251050