Prime p₀= 2412400020410902307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2412398467341499361	0 2 6 8 48 50 90 92 96 98	-1553069402946
TPT(14)	2412398488790114309	0 2 42 44 60 62 78 80 132 134 270 272 288 290	-1531620787998
TPT(14)	2412398789129409347	0 2 12 14 24 26 42 44 54 56 114 116 222 224	-1231281492960
SPT(16)	2412398792437380839	0 30 98 152 162 164 182 222 320 360 378 380 390 444 512 542	-1227973521468
TPT(14)	2412399386730989567	0 2 72 74 132 134 174 176 294 296 312 314 330 332	-633679912740
TPT(14)	2412399833321214719	0 2 90 92 108 110 138 140 162 164 210 212 222 224	-187089687588
TPT(14)	2412400169570063159	0 2 42 44 90 92 102 104 132 134 168 170 180 182	149159160852
STPT(10)	2412400233664524239	0 2 12 14 90 92 168 170 180 182	213253621932
SPT(16)	2412400409451541853	0 50 60 78 110 116 210 218 288 296 390 396 428 446 456 506	389040639546
SPT(16)	2412400660077596011	0 10 28 46 48 76 82 88 90 96 102 130 132 150 168 178	639666693704
SPT(16)	2412400667879370607	0 10 52 54 64 102 112 204 220 312 322 360 370 372 414 424	647468468300