Prime p₀= 2350459269866035421 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: conf [MM]
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2350456983057160301	0 2 30 32 78 80 126 128 156 158	-2286808875120
SPT(16)	2350457009175734747	0 26 30 44 60 120 144 150 170 176 200 260 276 290 294 320	-2260690300674
SPT(16)	2350457031800541893	0 54 98 116 146 150 158 168 206 216 224 228 258 276 320 374	-2238065493528
SPT(16)	2350457251214515073	0 44 54 108 180 248 278 288 296 306 336 404 476 530 540 584	-2018651520348
SPT(16)	2350457425349897167	0 10 36 72 76 90 120 132 184 196 226 240 244 280 306 316	-1844516138254
STPT(12)	2350458863499729077	0 2 12 14 42 44 102 104 132 134 144 146	-406366306344
STPT(10)	2350459757180979089	0 2 48 50 60 62 72 74 120 122	487314943668
SPT(16)	2350460159685312457	0 16 34 82 96 124 142 180 256 294 312 340 354 402 420 436	889819277036
TPT(14)	2350460187422740511	0 2 96 98 108 110 150 152 180 182 186 188 198 200	917556705090
SPT(16)	2350460246636552527	0 24 42 52 64 94 102 126 130 154 162 192 204 214 232 256	976770517106
SPT(16)	2350460773306658777	0 6 24 42 56 66 72 86 120 134 140 150 164 182 200 206	1503440623356