Prime p₀= 768066489709727069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 34 2 40 2 76 2 10 2 (?)
a_n: 0 2 30 32 42 44 78 80 120 122 198 200 210 212
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 212
Found by: GLeeM
db: batch=73, k=14, 28 10 34 40 76 10

STPT(10)	768065447042260361	0 2 36 38 78 80 120 122 156 158	-1042667466708
STPT(10)	768065454059906381	0 2 36 38 78 80 120 122 156 158	-1035649820688
SPT(16)	768065920017863227	0 4 10 34 40 54 66 94 126 154 166 180 186 210 216 220	-569691863842
SPT(16)	768066299207409193	0 18 54 66 88 118 124 136 168 180 186 216 238 250 286 304	-190502317876
STPT(10)	768066318420837221	0 2 30 32 60 62 90 92 120 122	-171288889848
SPT(16)	768066397223199247	0 40 82 130 132 136 154 166 180 192 210 214 216 264 306 346	-92486527822
SPT(16)	768067025498497717	0 24 40 70 76 90 94 100 126 132 136 150 156 186 202 226	535788770648
STPT(10)	768067308164964089	0 2 42 44 60 62 78 80 120 122	818455237020
SPT(16)	768067596207150149	0 18 30 42 44 54 60 72 110 122 128 138 140 152 164 182	1106497423080
STPT(10)	768067757071852187	0 2 30 32 42 44 54 56 84 86	1267362125118
SPT(16)	768067795514986963	0 10 28 36 66 76 78 90 154 166 168 178 208 216 234 244	1305805259894