Prime p₀= 1167644456139164789 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: xii5ku
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1167643215414053453	0 14 38 54 80 84 116 180 194 258 290 294 320 336 360 374	-1240725111336
TPT(14)	1167643587232346801	0 2 36 38 66 68 78 80 90 92 96 98 108 110	-868906817988
TPT(14)	1167643923228156389	0 2 30 32 72 74 78 80 162 164 198 200 288 290	-532911008400
STPT(10)	1167643992850414991	0 2 6 8 18 20 30 32 36 38	-463288749798
STPT(10)	1167644203727774621	0 2 30 32 60 62 90 92 120 122	-252411390168
SPT(16)	1167644329875682907	0 2 14 20 26 36 66 84 92 110 140 150 156 162 174 176	-126263481882
SPT(16)	1167644823180441523	0 4 10 36 40 54 66 114 136 184 196 210 214 240 246 250	367041276734
STPT(10)	1167644869754367371	0 2 6 8 48 50 90 92 96 98	413615202582
SPT(16)	1167645419451600953	0 14 36 44 50 84 86 110 114 138 140 174 180 188 210 224	963312436164
SPT(16)	1167645961209817153	0 30 78 84 94 108 130 166 168 204 226 240 250 256 304 334	1505070652364
STPT(10)	1167646030948070519	0 2 18 20 30 32 42 44 60 62	1574808905730