Prime p₀= 1345219595127917651 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: stoneageman
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1345218490294272661	0 28 42 58 60 70 88 138 160 210 228 238 240 256 270 298	-1104833644990
STPT(10)	1345218553701934739	0 2 18 20 60 62 102 104 120 122	-1041425982912
SPT(16)	1345218567180610697	0 12 14 24 50 60 66 86 150 170 176 186 212 222 224 236	-1027947306954
SPT(16)	1345219180291848887	0 26 32 54 60 72 116 200 306 390 434 446 452 474 480 506	-414836068764
STPT(10)	1345219447095398429	0 2 18 20 60 62 102 104 120 122	-148032519222
SPT(16)	1345219533742880177	0 20 42 116 126 132 162 170 186 194 224 230 240 314 336 356	-61385037474
STPT(12)	1345219600655165507	0 2 30 32 54 56 60 62 84 86 114 116	5527247856
STPT(10)	1345219630890548969	0 2 48 50 90 92 132 134 180 182	35762631318
TPT(14)	1345219722388945421	0 2 18 20 168 170 198 200 210 212 270 272 300 302	127261027770
SPT(16)	1345220277250028489	0 14 30 44 72 162 200 234 260 294 332 422 450 464 480 494	682122110838
SPT(16)	1345220281090919183	0 18 30 44 66 80 84 108 146 170 174 188 210 224 236 254	685963001532