Prime p₀= 2367810275311290149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: arkiss
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2367809411027670937	0 10 40 42 52 126 162 222 304 364 400 474 484 486 516 526	-864283619212
STPT(10)	2367809424952034177	0 2 72 74 102 104 132 134 204 206	-850359255972
SPT(16)	2367809558948604973	0 54 94 124 160 166 168 184 210 226 228 234 270 300 340 394	-716362685176
STPT(10)	2367809780899012529	0 2 48 50 60 62 72 74 120 122	-494412277620
SPT(16)	2367809927254086577	0 16 30 96 100 114 124 204 322 402 412 426 430 496 510 526	-348057203572
SPT(16)	2367810041620136371	0 16 40 42 96 100 112 118 180 186 198 202 256 258 282 298	-233691153778
SPT(16)	2367810382257083333	0 48 66 96 126 128 138 140 204 206 216 218 248 278 296 344	106945793184
STPT(10)	2367810454498061267	0 2 30 32 60 62 90 92 120 122	179186771118
SPT(16)	2367810541241569033	0 16 36 78 84 88 136 150 184 198 246 250 256 298 318 334	265930278884
SPT(16)	2367810736815512243	0 14 68 78 110 120 126 134 180 188 194 204 236 246 300 314	461504222094
SPT(16)	2367811005821055191	0 38 60 62 78 122 152 176 192 216 246 290 306 308 330 368	730509765042