Prime p₀= 3003912558716710409 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3003911034547340167	0 12 40 42 46 76 126 130 132 136 186 216 220 222 250 262	-1524169370242
SPT(16)	3003911158953565291	0 30 36 40 48 82 106 118 120 132 156 190 198 202 208 238	-1399763145118
STPT(10)	3003911728266609929	0 2 18 20 30 32 42 44 60 62	-830450100480
STPT(10)	3003911836427411771	0 2 36 38 78 80 120 122 156 158	-722289298638
STPT(10)	3003912288178344209	0 2 18 20 30 32 42 44 60 62	-270538366200
SPT(16)	3003912382788007861	0 10 48 60 126 132 156 178 210 232 256 262 328 340 378 388	-175928702548
STPT(10)	3003912577976213999	0 2 18 20 30 32 42 44 60 62	19259503590
STPT(10)	3003912612988178609	0 2 12 14 90 92 168 170 180 182	54271468200
SPT(16)	3003912666986480591	0 18 66 72 110 146 150 158 180 188 192 228 266 272 320 338	108269770182
STPT(10)	3003912798750498317	0 2 42 44 72 74 102 104 144 146	240033787908
SPT(16)	3003913061153577611	0 2 36 56 86 98 140 188 240 288 330 342 372 392 426 428	502436867202