Prime p₀= 1253173700192563949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: mikey
db: batch=77, k=10, 2 46 2 10 2

SPT(16)	1253173079581466213	0 30 44 80 140 146 174 186 188 200 228 234 294 330 344 374	-620611097736
STPT(10)	1253173153908647999	0 2 18 20 30 32 42 44 60 62	-546283915950
STPT(10)	1253173193815134587	0 2 30 32 72 74 114 116 144 146	-506377429362
SPT(16)	1253173220044829873	0 18 38 80 84 108 144 168 170 194 230 254 258 300 320 338	-480147734076
STPT(10)	1253173302228966257	0 2 42 44 72 74 102 104 144 146	-397963597692
SPT(16)	1253173452886103941	0 30 52 76 78 106 112 118 150 156 162 190 192 216 238 268	-247306460008
STPT(10)	1253174034971096267	0 2 12 14 42 44 72 74 84 86	334778532318
SPT(16)	1253174197763412187	0 4 72 82 96 102 126 130 156 160 184 190 204 214 282 286	497570848238
STPT(10)	1253174213235515297	0 2 24 26 42 44 60 62 84 86	513042951348
SPT(16)	1253174250739346921	0 32 56 68 90 96 138 140 198 200 242 248 270 282 306 338	550546782972
SPT(16)	1253174683260245293	0 6 34 64 100 114 120 130 174 184 190 204 240 270 298 304	983067681344