Prime p₀= 1519294393034733317 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=78, k=10, 2 28 2 28 2

SPT(16)	1519293533631268513	0 10 16 30 40 96 100 126 154 180 184 240 250 264 270 280	-859403464804
STPT(12)	1519293680479404299	0 2 30 32 72 74 120 122 162 164 192 194	-712555329018
SPT(16)	1519293856070215817	0 20 26 36 50 96 140 174 182 216 260 306 320 330 336 356	-536964517500
SPT(16)	1519293878187816233	0 18 54 60 66 74 96 126 128 158 180 188 194 200 236 254	-514846917084
STPT(10)	1519294061930012507	0 2 60 62 72 74 84 86 144 146	-331104720810
SPT(13)	1519294372576946633	0 24 30 120 150 156 180 204 210 240 330 336 360	-20457786684
SPT(16)	1519294404248366773	0 10 30 54 60 76 130 136 174 180 234 250 256 280 300 310	11213633456
SPT(16)	1519294746886404673	0 6 48 70 78 96 136 138 148 150 190 208 216 238 280 286	353851671356
STPT(10)	1519295216788357607	0 2 30 32 42 44 54 56 84 86	823753624290
SPT(16)	1519295244522823181	0 8 56 78 86 102 108 138 140 170 176 192 200 222 270 278	851488089864
SPT(16)	1519295364033178393	0 4 6 60 120 126 160 166 204 210 244 250 310 364 366 370	970998445076