Prime p₀= 1253164661737316267 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: Skivelitis2
db: batch=77, k=10, 2 28 2 28 2

STPT(12)	1253163671697921209	0 2 30 32 42 44 78 80 90 92 120 122	-990039395058
SPT(16)	1253163967460319403	0 88 108 124 136 154 156 178 186 208 210 228 240 256 276 364	-694276996864
SPT(16)	1253164066509959561	0 66 90 140 152 168 270 272 276 278 380 396 408 458 482 548	-595227356706
SPT(16)	1253164165421809733	0 14 24 36 56 80 120 156 164 200 240 264 284 296 306 320	-496315506534
SPT(16)	1253164185509381251	0 10 30 60 66 78 88 96 112 120 130 142 148 178 198 208	-476227935016
STPT(10)	1253164211388415397	0 2 30 32 42 44 54 56 84 86	-450348900870
SPT(16)	1253164752437157107	0 20 42 44 62 84 104 114 140 150 170 192 210 212 234 254	90699840840
TPT(14)	1253164863686818877	0 2 12 14 54 56 84 86 114 116 240 242 300 302	201949502610
SPT(16)	1253164925101481867	0 44 56 140 146 182 192 230 276 314 324 360 366 450 462 506	263364165600
STPT(10)	1253164940551262327	0 2 30 32 42 44 54 56 84 86	278813946060
SPT(16)	1253165380767480311	0 42 50 98 110 146 176 180 218 222 252 288 300 348 356 398	719030164044