Prime p₀= 3012807989563926311 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: Alnitak2019
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	3012806881260325307	0 2 72 74 210 212 222 224 270 272 300 302 312 314	-1108303601004
SPT(16)	3012806925281550757	0 6 10 16 34 52 76 112 114 150 174 192 210 216 220 226	-1064282375554
STPT(10)	3012807611223859037	0 2 30 32 42 44 54 56 84 86	-378340067274
STPT(10)	3012807690465560087	0 2 60 62 72 74 84 86 144 146	-299098366224
SPT(16)	3012807784633073489	0 18 54 102 110 132 138 164 168 194 200 222 230 278 314 332	-204930852822
SPT(16)	3012807959587610963	0 8 38 78 116 150 164 176 258 270 284 318 356 396 426 434	-29976315348
STPT(10)	3012808154328973631	0 2 36 38 78 80 120 122 156 158	164765047320
SPT(16)	3012808272230884019	0 12 90 98 110 120 162 188 204 230 272 282 294 302 380 392	282666957708
STPT(10)	3012808280573071961	0 2 36 38 78 80 120 122 156 158	291009145650
SPT(16)	3012808435275944251	0 6 18 46 48 58 130 136 192 198 270 280 282 310 322 328	445712017940
STPT(10)	3012809348110032179	0 2 42 44 60 62 78 80 120 122	1358546105868