Prime p₀= 1135053370392300167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1135052341110196283	0 20 24 54 56 90 126 134 150 158 194 228 230 260 264 284	-1029282103884
STPT(10)	1135052833261472897	0 2 30 32 72 74 114 116 144 146	-537130827270
SPT(16)	1135052928216153697	0 24 36 60 66 106 130 136 210 216 240 280 286 310 322 346	-442176146470
TPT(14)	1135053191640453191	0 2 78 80 108 110 150 152 198 200 210 212 240 242	-178751846976
STPT(10)	1135053271403512091	0 2 36 38 78 80 120 122 156 158	-98988788076
SPT(16)	1135053333705221869	0 24 42 58 72 94 112 124 168 180 198 220 234 250 268 292	-36687078298
STPT(10)	1135053423000109577	0 2 30 32 42 44 54 56 84 86	52607809410
TPT(14)	1135053633234315437	0 2 12 14 24 26 84 86 144 146 222 224 282 284	262842015270
SPT(18)	1135053791817291917	0 26 54 72 104 114 120 132 162 194 224 236 242 252 284 302 330 356	421424991750
STPT(10)	1135053797904897119	0 2 18 20 30 32 42 44 60 62	427512596952
SPT(16)	1135054313136585511	0 10 18 40 52 60 76 88 90 102 118 126 138 160 168 178	942744285344