Prime p₀= 1123335433894964921 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: stoneageman
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1123334445648964313	0 8 14 24 36 48 66 78 86 98 116 128 140 150 156 164	-988246000608
TPT(14)	1123334642281760057	0 2 30 32 114 116 144 146 204 206 210 212 240 242	-791613204864
STPT(10)	1123334705374826291	0 2 6 8 48 50 90 92 96 98	-728520138630
SPT(16)	1123334841706694657	0 6 144 150 174 182 230 260 276 306 354 362 386 392 530 536	-592188270264
SPT(16)	1123335143094659923	0 24 28 60 84 108 114 198 220 304 310 334 358 390 394 418	-290800304998
SPT(16)	1123335347814037829	0 42 44 122 150 162 174 182 240 248 260 272 300 378 380 422	-86080927092
STPT(10)	1123335603573672077	0 2 30 32 42 44 54 56 84 86	169678707156
STPT(10)	1123335693017973101	0 2 6 8 18 20 30 32 36 38	259123008180
SPT(16)	1123335722000832019	0 52 64 72 108 120 124 144 148 168 172 184 220 228 240 292	288105867098
SPT(16)	1123335732826767209	0 32 54 68 98 102 120 140 162 182 200 204 234 248 270 302	298931802288
STPT(10)	1123335763667217941	0 2 36 38 78 80 120 122 156 158	329772253020