Prime p₀= 1249413920872431047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: mikey
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1249413322486231853	0 30 56 66 86 96 104 110 144 150 158 168 188 198 224 254	-598386199194
SPT(16)	1249413373326616373	0 18 30 44 80 126 170 194 210 234 278 324 360 374 386 404	-547545814674
SPT(16)	1249413594850984697	0 32 50 72 120 140 150 156 206 212 222 242 290 312 330 362	-326021446350
STPT(10)	1249413667665189107	0 2 54 56 72 74 90 92 144 146	-253207241940
STPT(10)	1249413829402654187	0 2 24 26 42 44 60 62 84 86	-91469776860
TPT(14)	1249413891019738007	0 2 132 134 174 176 210 212 264 266 312 314 354 356	-29852693040
SPT(16)	1249414436608195631	0 20 26 120 126 140 170 210 272 312 342 356 362 456 462 482	515735764584
STPT(10)	1249414754870229557	0 2 30 32 42 44 54 56 84 86	833997798510
STPT(10)	1249415123406804197	0 2 30 32 42 44 54 56 84 86	1202534373150
SPT(16)	1249415280720321313	0 4 16 46 48 58 96 100 144 148 186 196 198 228 240 244	1359847890266
SPT(16)	1249415281316672573	0 6 20 38 48 50 56 68 78 90 96 98 108 126 140 146	1360444241526