Prime p₀= 2281584205341387641 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: Orange Kid
db: batch=81, k=10, 2 28 2 28 2

SPT(18)	2281582943233869101	0 26 92 102 120 140 168 212 228 260 276 320 348 368 386 396 462 488	-1262107518540
STPT(12)	2281583008172427899	0 2 30 32 42 44 90 92 102 104 132 134	-1197168959742
STPT(10)	2281583093554039349	0 2 42 44 90 92 138 140 180 182	-1111787348292
SPT(16)	2281583203706978183	0 56 96 104 108 110 116 134 150 168 174 176 180 188 228 284	-1001634409458
STPT(10)	2281583415607248419	0 2 18 20 30 32 42 44 60 62	-789734139222
SPT(16)	2281583643927586619	0 14 32 74 78 90 98 110 132 144 152 164 168 210 228 242	-561413801022
STPT(10)	2281584216558735269	0 2 18 20 30 32 42 44 60 62	11217347628
SPT(16)	2281584258468848777	0 2 20 26 36 96 104 120 146 162 170 230 240 246 264 266	53127461136
SPT(16)	2281584692667245897	0 32 42 86 96 126 162 170 192 200 236 266 276 320 330 362	487325858256
STPT(10)	2281584789323528831	0 2 6 8 18 20 30 32 36 38	583982141190
SPT(16)	2281584841970800081	0 58 88 102 112 132 156 192 196 232 256 276 286 300 330 388	636629412440