Prime p₀= 2342403828726892751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: arkiss
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2342402997257861257	0 12 40 54 84 210 214 222 244 252 256 382 412 426 454 466	-831469031494
SPT(16)	2342403040343330221	0 22 52 66 88 126 130 162 196 228 232 270 292 306 336 358	-788383562530
SPT(16)	2342403370156984891	0 18 22 40 58 106 120 130 138 148 162 210 228 246 250 268	-458569907860
STPT(10)	2342403539746616609	0 2 48 50 90 92 132 134 180 182	-288980276142
STPT(10)	2342403626156528021	0 2 6 8 48 50 90 92 96 98	-202570364730
SPT(16)	2342403688632270437	0 20 54 74 84 144 146 174 206 234 236 296 306 326 360 380	-140094622314
STPT(10)	2342403972983057507	0 2 30 32 42 44 54 56 84 86	144256164756
TPT(14)	2342404002153179957	0 2 12 14 24 26 54 56 114 116 192 194 234 236	173426287206
SPT(16)	2342404980947376097	0 16 30 46 60 90 106 120 250 264 280 310 324 340 354 370	1152220483346
STPT(10)	2342405209214056697	0 2 42 44 72 74 102 104 144 146	1380487163946
SPT(16)	2342405350559199001	0 10 42 60 72 102 118 150 160 192 208 238 250 268 300 310	1521832306250