Prime p₀= 2069540476429707269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2069539045245829847	0 26 86 114 132 152 156 170 186 200 204 224 242 270 330 356	-1431183877422
STPT(10)	2069539534847562689	0 2 18 20 30 32 42 44 60 62	-941582144580
SPT(16)	2069539559163148547	0 12 54 62 72 102 132 146 180 194 224 254 264 272 314 326	-917266558722
STPT(10)	2069539706113042829	0 2 120 122 180 182 240 242 360 362	-770316664440
TPT(14)	2069540104357405541	0 2 30 32 66 68 78 80 96 98 108 110 138 140	-372072301728
STPT(10)	2069540365043363699	0 2 48 50 90 92 132 134 180 182	-111386343570
STPT(10)	2069540536512498617	0 2 12 14 42 44 72 74 84 86	60082791348
SPT(16)	2069541073476096817	0 4 6 64 114 132 154 160 366 372 394 412 462 520 522 526	597046389548
SPT(16)	2069541082288219937	0 14 26 90 116 144 152 200 216 264 272 300 326 390 402 416	605858512668
STPT(10)	2069541091813904897	0 2 24 26 42 44 60 62 84 86	615384197628
STPT(10)	2069541336225515807	0 2 54 56 72 74 90 92 144 146	859795808538