Prime p₀= 1253076776594781137 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: biodoc
db: batch=77, k=10, 2 22 2 16 2

TPT(14)	1253075854593787967	0 2 30 32 54 56 72 74 114 116 150 152 162 164	-922000993170
STPT(10)	1253076057013423541	0 2 96 98 108 110 120 122 216 218	-719581357596
SPT(16)	1253076169678262893	0 94 118 168 174 216 228 238 276 286 298 340 346 396 420 514	-606916518244
SPT(16)	1253076269182392253	0 16 36 46 84 88 100 130 144 174 186 190 228 238 258 274	-507412388884
SPT(16)	1253076325029751373	0 26 60 68 98 138 144 156 158 170 176 216 246 254 288 314	-451565029764
STPT(10)	1253076563167859231	0 2 6 8 48 50 90 92 96 98	-213426921906
SPT(16)	1253076875101181479	0 10 12 34 94 114 118 138 154 174 178 198 258 280 282 292	98506400342
SPT(16)	1253076894647986879	0 22 34 42 48 72 84 102 130 148 160 184 190 198 210 232	118053205742
SPT(16)	1253076942495267619	0 30 52 72 90 100 142 198 274 330 372 382 400 420 442 472	165900486482
TPT(14)	1253077218391699409	0 2 42 44 90 92 198 200 282 284 300 302 372 374	441796918272
SPT(16)	1253077251957070853	0 80 84 134 164 200 206 236 258 288 294 330 360 410 414 494	475362289716