Prime p₀= 1269078517628791349 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: mikey
db: batch=77, k=10, 2 16 2 10 2

TPT(14)	1269076979979240281	0 2 36 38 90 92 120 122 150 152 258 260 288 290	-1537649551068
STPT(10)	1269077223356334827	0 2 30 32 42 44 54 56 84 86	-1294272456522
SPT(16)	1269077231913747247	0 46 52 66 94 106 136 150 166 180 210 222 250 264 270 316	-1285715044102
SPT(16)	1269077465287625267	0 14 32 74 86 114 126 156 170 200 212 240 252 294 312 326	-1052341166082
STPT(10)	1269077664181130981	0 2 78 80 168 170 258 260 336 338	-853447660368
SPT(16)	1269078023962639733	0 30 108 138 150 164 170 188 216 234 240 254 266 296 374 404	-493666151616
STPT(10)	1269078673706923991	0 2 6 8 18 20 30 32 36 38	156078132642
SPT(16)	1269079158821642407	0 12 16 46 64 136 150 162 214 226 240 312 330 360 364 376	641192851058
STPT(10)	1269079687567934447	0 2 30 32 102 104 174 176 204 206	1169939143098
SPT(16)	1269079825041938821	0 6 16 18 22 30 42 70 108 136 148 156 160 162 172 178	1307413147472
STPT(10)	1269079860116988131	0 2 36 38 78 80 120 122 156 158	1342488196782