Prime p₀= 1458778867718057087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=78, k=10, 2 40 2 28 2

SPT(16)	1458777327971411729	0 24 42 54 98 140 158 164 198 204 222 264 308 320 338 362	-1539746645358
SPT(16)	1458777436000914479	0 2 24 48 90 108 114 164 258 308 314 332 374 398 420 422	-1431717142608
TPT(14)	1458777724139682509	0 2 90 92 120 122 162 164 192 194 252 254 258 260	-1143578374578
SPT(16)	1458778005051931777	0 42 52 94 124 132 142 154 162 174 184 192 222 264 274 316	-862666125310
SPT(13)	1458778286733754807	0 72 90 120 132 150 162 174 192 204 234 252 324	-580984302280
STPT(10)	1458778808774983877	0 2 24 26 42 44 60 62 84 86	-58943073210
STPT(10)	1458779088927013697	0 2 30 32 42 44 54 56 84 86	221208956610
STPT(10)	1458779177271609629	0 2 42 44 60 62 78 80 120 122	309553552542
SPT(16)	1458779477207661023	0 6 30 60 74 114 116 150 164 198 200 240 254 284 308 314	609489603936
STPT(10)	1458779527347021701	0 2 6 8 48 50 90 92 96 98	659628964614
STPT(10)	1458779979344717987	0 2 24 26 42 44 60 62 84 86	1111626660900