Prime p₀= 1253577035235094247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1253575499188528487	0 24 60 104 110 122 132 140 156 164 174 186 192 236 272 296	-1536046565760
STPT(10)	1253575805472653357	0 2 30 32 60 62 90 92 120 122	-1229762440890
SPT(16)	1253575840403053061	0 48 56 66 90 96 126 140 156 170 200 206 230 240 248 296	-1194832041186
STPT(10)	1253576242739221109	0 2 18 20 60 62 102 104 120 122	-792495873138
STPT(10)	1253576588037791921	0 2 36 38 78 80 120 122 156 158	-447197302326
TPT(14)	1253576770671185501	0 2 30 32 78 80 156 158 258 260 270 272 300 302	-264563908746
STPT(10)	1253577208245714029	0 2 18 20 30 32 42 44 60 62	173010619782
SPT(16)	1253577350869745021	0 32 60 68 102 138 168 228 242 302 332 368 402 410 438 470	315634650774
SPT(16)	1253577650083239359	0 8 68 90 92 102 110 120 152 162 170 180 182 204 264 272	614848145112
SPT(16)	1253577893055083677	0 42 46 60 70 72 96 102 154 160 184 186 196 210 214 256	857819989430
SPT(16)	1253578395819468353	0 20 26 68 98 110 150 174 200 224 264 276 306 348 354 374	1360584374106