Prime p₀= 1119046363006608731 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: Theadalus
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1119045240832710007	0 10 82 102 126 130 196 216 256 276 342 346 370 390 462 472	-1122173898724
SPT(16)	1119045276333812351	0 6 18 20 56 66 68 90 116 138 140 150 186 188 200 206	-1086672796380
SPT(16)	1119045826117952647	0 12 46 84 90 106 120 124 132 136 150 166 172 210 244 256	-536888656084
SPT(16)	1119046072725555379	0 30 40 82 84 88 114 132 220 238 264 268 270 312 322 352	-290281053352
STPT(10)	1119046248133652477	0 2 60 62 72 74 84 86 144 146	-114872956254
STPT(10)	1119046271134812611	0 2 90 92 108 110 126 128 216 218	-91871796120
SPT(16)	1119046431097181659	0 28 30 52 72 78 108 120 142 154 184 190 210 232 234 262	68090572928
STPT(10)	1119046673783301629	0 2 42 44 60 62 78 80 120 122	310776692898
STPT(10)	1119046853676907679	0 2 18 20 30 32 42 44 60 62	490670298948
SPT(18)	1119046930179606121	0 22 58 96 102 148 168 172 180 238 246 250 270 316 322 360 396 418	567172997390
SPT(16)	1119047149853629457	0 14 30 54 62 84 90 96 140 146 152 174 182 206 222 236	786847020726