Prime p₀= 820216009411971551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 10 2 136 2 10 2 10 2 (?)
a_n: 0 2 30 32 156 158 168 170 306 308 318 320 330 332
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: 332
Found by: [SG]steini
db: batch=73, k=14, 28 124 10 136 10 10

SPT(16)	820214863179425261	0 8 30 38 78 98 170 186 230 246 318 338 378 386 408 416	-1146232546290
SPT(16)	820214954584199219	0 38 84 90 104 108 140 194 204 258 290 294 308 314 360 398	-1054827772332
STPT(10)	820215212166697817	0 2 30 32 42 44 54 56 84 86	-797245273734
SPT(16)	820215392535174719	0 20 72 114 140 144 150 188 234 272 278 282 308 350 402 422	-616876796832
TPT(14)	820215475036285817	0 2 24 26 60 62 150 152 192 194 234 236 240 242	-534375685734
SPT(16)	820215988041326887	0 22 24 40 82 84 96 132 154 190 202 204 246 262 264 286	-21370644664
SPT(16)	820216738143792083	0 14 26 44 54 78 110 150 194 234 266 290 300 318 330 344	728731820532
STPT(10)	820216784787922187	0 2 30 32 42 44 54 56 84 86	775375950636
SPT(16)	820216841468884807	0 12 24 30 54 126 154 156 190 192 220 292 316 322 334 346	832056913256
SPT(20)	820216886243128403	0 18 38 44 60 68 86 98 110 128 276 294 306 318 336 344 360 366 386 404	876831156852
SPT(16)	820217239095740149	0 4 28 30 82 88 100 130 192 222 234 240 292 294 318 322	1229683768598