Prime p₀= 2811421299595038269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 34 2 10 2 16 2 (?)
a_n: 0 2 12 14 72 74 102 104 138 140 150 152 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 10 58 28 34 10 16

STPT(10)	2811420111882242849	0 2 18 20 30 32 42 44 60 62	-1187712795420
SPT(16)	2811420176081841367	0 16 42 72 82 94 150 156 190 196 252 264 274 304 330 346	-1123513196902
SPT(16)	2811420839320138607	0 14 44 86 144 146 170 174 212 216 240 242 300 342 372 386	-460274899662
STPT(10)	2811420847570891667	0 2 42 44 72 74 102 104 144 146	-452024146602
SPT(20)	2811420969432418799	0 42 44 54 60 78 102 134 150 152 210 212 228 260 284 302 308 318 320 362	-330162619470
SPT(16)	2811421165789601507	0 2 6 20 32 42 44 90 116 162 164 174 186 200 204 206	-133805436762
SPT(16)	2811421503642763183	0 34 54 100 126 130 154 156 184 186 210 214 240 286 306 340	204047724914
STPT(10)	2811421802484841067	0 2 30 32 42 44 54 56 84 86	502889802798
STPT(10)	2811421939784732837	0 2 12 14 132 134 252 254 264 266	640189694568
STPT(10)	2811422515124204867	0 2 30 32 42 44 54 56 84 86	1215529166598
SPT(16)	2811422652723335657	0 44 54 66 80 84 114 144 152 182 212 216 230 242 252 296	1353128297388