Prime p₀= 1051398000974276741 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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1051396923123328963	0 10 24 70 76 100 136 166 168 198 234 258 264 310 324 334	-1077850947778
SPT(16)	1051396979867496959	0 20 78 98 120 134 204 228 380 404 474 488 510 530 588 608	-1021106779782
SPT(16)	1051396985177426413	0 58 78 94 96 126 144 148 186 190 208 238 240 256 276 334	-1015796850328
SPT(16)	1051397388485629243	0 28 58 60 78 120 130 144 154 168 178 220 238 240 270 298	-612488647498
SPT(16)	1051397596414334297	0 14 20 36 42 60 66 90 116 140 146 164 170 186 192 206	-404559942444
STPT(10)	1051397728389949007	0 2 12 14 42 44 72 74 84 86	-272584327734
SPT(16)	1051398015311935397	0 14 32 56 66 80 120 182 204 266 306 320 330 354 372 386	14337658656
SPT(16)	1051398359737698617	0 32 36 66 74 84 170 176 270 276 362 372 380 410 414 446	358763421876
TPT(14)	1051398426816019019	0 2 108 110 132 134 372 374 390 392 498 500 600 602	425841742278
STPT(10)	1051398438320149721	0 2 6 8 48 50 90 92 96 98	437345872980
SPT(16)	1051399705253117263	0 60 154 168 180 184 198 214 234 250 264 268 280 294 388 448	1704278840522