Prime p₀= 1033258671163228997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 46 2 208 2 10 2 28 2 (?)
a_n: 0 2 12 14 42 44 90 92 300 302 312 314 342 344
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: 344
Found by: Theadalus
db: batch=76, k=14, 10 28 46 208 10 28

SPT(16)	1033258098951504631	0 10 28 30 46 72 76 78 100 102 106 132 148 150 168 178	-572211724366
STPT(10)	1033258291496432711	0 2 78 80 108 110 138 140 216 218	-379666796286
SPT(16)	1033258457699214379	0 12 22 42 52 58 72 94 168 190 204 210 220 240 250 262	-213464014618
STPT(10)	1033258546651419371	0 2 6 8 48 50 90 92 96 98	-124511809626
SPT(16)	1033258559710762877	0 20 32 72 92 120 144 182 192 230 254 282 302 342 354 374	-111452466120
TPT(14)	1033258566865885511	0 2 6 8 48 50 138 140 156 158 216 218 270 272	-104297343486
SPT(16)	1033258686296098421	0 12 18 48 60 68 96 102 266 272 300 308 320 350 356 368	15132869424
SPT(13)	1033259263142693099	0 18 78 84 90 120 144 168 198 204 210 270 288	591979464102
SPT(16)	1033259778785209769	0 14 98 104 128 150 170 224 288 342 362 384 408 414 498 512	1107621980772
SPT(16)	1033259913058943693	0 6 36 50 78 126 144 146 168 170 188 236 264 278 308 314	1241895714696
STPT(10)	1033259967884123657	0 2 30 32 42 44 54 56 84 86	1296720894660