Prime p₀= 3035601835995743681 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	3035599231352674487	0 2 12 14 72 74 132 134 144 146	-2604643069194
SPT(16)	3035600173751420741	0 6 8 32 48 86 90 92 96 98 102 140 156 180 182 188	-1662244322940
SPT(16)	3035600601934473071	0 2 38 48 78 80 90 102 146 158 168 170 200 210 246 248	-1234061270610
STPT(10)	3035600909958539387	0 2 90 92 132 134 174 176 264 266	-926037204294
SPT(16)	3035601448817423483	0 8 54 60 78 98 114 116 138 140 156 176 194 200 246 254	-387178320198
STPT(10)	3035601699236142719	0 2 48 50 90 92 132 134 180 182	-136759600962
SPT(16)	3035601986975341079	0 48 72 80 108 114 140 174 368 402 428 434 462 470 494 542	150979597398
SPT(20)	3035602112049995693	0 44 66 104 108 174 176 218 234 270 314 350 366 408 410 476 480 518 540 584	276054252012
STPT(10)	3035602167310752197	0 2 30 32 72 74 114 116 144 146	331315008516
STPT(10)	3035602256969777309	0 2 42 44 90 92 138 140 180 182	420974033628
SPT(16)	3035602333405242463	0 46 70 76 90 114 126 186 244 304 316 340 354 360 384 430	497409498782