Prime p₀= 768066318420837221 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: GLeeM
db: batch=73, k=10, 2 28 2 28 2

STPT(12)	768065394126620921	0 2 36 38 48 50 78 80 90 92 126 128	-924294216300
STPT(10)	768065408547044519	0 2 18 20 30 32 42 44 60 62	-909873792702
STPT(10)	768065447042260361	0 2 36 38 78 80 120 122 156 158	-871378576860
STPT(10)	768065454059906381	0 2 36 38 78 80 120 122 156 158	-864360930840
SPT(16)	768065920017863227	0 4 10 34 40 54 66 94 126 154 166 180 186 210 216 220	-398402973994
SPT(16)	768066299207409193	0 18 54 66 88 118 124 136 168 180 186 216 238 250 286 304	-19213428028
SPT(16)	768066397223199247	0 40 82 130 132 136 154 166 180 192 210 214 216 264 306 346	78802362026
TPT(14)	768066489709727069	0 2 30 32 42 44 78 80 120 122 198 200 210 212	171288889848
SPT(16)	768067025498497717	0 24 40 70 76 90 94 100 126 132 136 150 156 186 202 226	707077660496
STPT(10)	768067308164964089	0 2 42 44 60 62 78 80 120 122	989744126868
SPT(16)	768067596207150149	0 18 30 42 44 54 60 72 110 122 128 138 140 152 164 182	1277786312928