Prime p₀= 3029676976221156431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

STPT(10)	3029676144652803587	0 2 30 32 42 44 54 56 84 86	-831568352844
STPT(10)	3029676206927039609	0 2 42 44 60 62 78 80 120 122	-769294116822
SPT(16)	3029676213671743247	0 6 50 86 110 164 174 182 204 212 222 276 300 336 380 386	-762549413184
STPT(12)	3029676508338842699	0 2 30 32 42 44 108 110 120 122 150 152	-467882313732
SPT(16)	3029676642684687773	0 18 30 44 60 68 78 96 98 116 126 134 150 164 176 194	-333536468658
TPT(14)	3029676735011448407	0 2 54 56 72 74 210 212 240 242 270 272 294 296	-241209708024
TPT(14)	3029677389702093677	0 2 42 44 54 56 162 164 180 182 204 206 222 224	413480937246
SPT(16)	3029677907237747131	0 10 18 22 28 66 72 88 90 106 112 150 156 160 168 178	931016590700
TPT(14)	3029677989099052637	0 2 12 14 54 56 90 92 192 194 234 236 360 362	1012877896206
STPT(10)	3029678739988740809	0 2 12 14 30 32 48 50 60 62	1763767584378
TPT(14)	3029679047001320969	0 2 90 92 132 134 168 170 180 182 300 302 360 362	2070780164538