Prime p₀= 1274077219774549241 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: xii5ku
db: batch=77, k=10, 2 4 2 10 2

SPT(18)	1274076085964197121	0 8 36 42 62 68 90 138 146 162 170 218 240 246 266 272 300 308	-1133810352120
STPT(10)	1274076213445759247	0 2 30 32 42 44 54 56 84 86	-1006328789994
SPT(16)	1274076243192463987	0 40 70 84 96 124 126 156 190 220 222 250 262 276 306 346	-976582085254
STPT(10)	1274076505766041331	0 2 6 8 48 50 90 92 96 98	-714008507910
STPT(10)	1274076595656262439	0 2 18 20 30 32 42 44 60 62	-624118286802
TPT(14)	1274076760975113971	0 2 36 38 66 68 78 80 108 110 120 122 168 170	-458799435270
STPT(10)	1274077356296488019	0 2 48 50 90 92 132 134 180 182	136521938778
STPT(10)	1274077414929025247	0 2 30 32 72 74 114 116 144 146	195154476006
SPT(16)	1274077672902154303	0 10 28 66 108 126 138 148 156 166 178 196 238 276 294 304	453127605062
SPT(16)	1274078176992795787	0 4 46 64 70 82 120 130 156 166 204 216 222 240 282 286	957218246546
SPT(16)	1274078190789413651	0 20 32 42 98 108 152 188 222 258 302 312 368 378 390 410	971014864410