Prime p₀= 3091589158557394679 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: JonS
db: batch=83, k=10, 2 28 2 28 2

STPT(10)	3091586533733797241	0 2 6 8 18 20 30 32 36 38	-2624823597438
SPT(13)	3091586781117963701	0 6 30 60 96 180 198 216 300 336 366 390 396	-2377439430978
STPT(10)	3091587212627108969	0 2 12 14 90 92 168 170 180 182	-1945930285710
SPT(16)	3091587389816927761	0 6 12 28 30 36 40 48 70 78 82 88 90 106 112 118	-1768740466918
SPT(16)	3091588360357236589	0 28 58 90 100 124 180 202 240 262 318 342 352 384 414 442	-798200158090
STPT(10)	3091589062567672397	0 2 90 92 150 152 210 212 300 302	-95989722282
STPT(10)	3091589632512398159	0 2 18 20 30 32 42 44 60 62	473955003480
STPT(10)	3091589798392214969	0 2 12 14 90 92 168 170 180 182	639834820290
SPT(16)	3091589799696009431	0 50 56 72 78 80 92 128 150 186 198 200 206 222 228 278	641138614752
SPT(16)	3091590185743433951	0 2 62 68 122 132 140 176 252 288 296 306 360 366 426 428	1027186039272
STPT(10)	3091590510257599277	0 2 30 32 72 74 114 116 144 146	1351700204598