Prime p₀= 1249411502263533611 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: HenkM
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1249410005627140601	0 6 26 38 60 66 80 90 158 168 182 188 210 222 242 248	-1496636393010
STPT(10)	1249410346722546917	0 2 30 32 42 44 54 56 84 86	-1155540986694
SPT(16)	1249410383260814279	0 24 38 68 72 84 128 138 224 234 278 290 294 324 338 362	-1119002719332
STPT(10)	1249410497666647949	0 2 42 44 90 92 138 140 180 182	-1004596885662
STPT(10)	1249410672318968177	0 2 42 44 72 74 102 104 144 146	-829944565434
SPT(16)	1249410963944821121	0 2 12 42 68 98 110 138 182 210 222 252 278 308 318 320	-538318712490
SPT(16)	1249411754063386783	0 4 24 30 46 60 84 88 126 130 154 168 184 190 210 214	251799853172
STPT(10)	1249411830498237611	0 2 6 8 18 20 30 32 36 38	328234704000
SPT(16)	1249411881028287763	0 10 28 34 40 76 78 94 150 166 168 204 210 216 234 244	378764754152
SPT(16)	1249412111201596963	0 24 48 60 64 78 88 90 124 126 136 150 154 166 190 214	608938063352
SPT(16)	1249412367775002751	0 36 40 78 88 102 126 132 166 172 196 210 220 258 262 298	865511469140