Prime p₀= 980523552723821831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 76 2 46 2 10 2 40 2 (?)
a_n: 0 2 30 32 90 92 168 170 216 218 228 230 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 28 58 76 46 10 40

SPT(16)	980523228508575629	0 12 42 78 98 108 128 138 164 174 194 204 224 260 290 302	-324215246202
STPT(10)	980523276203279057	0 2 12 14 72 74 132 134 144 146	-276520542774
SPT(16)	980523316867701779	0 14 20 30 42 72 84 152 162 230 242 272 284 294 300 314	-235856120052
TPT(16)	980523347349058739	0 2 30 32 48 50 120 122 420 422 438 440 462 464 468 470	-205374763092
SPT(16)	980523412549972201	0 28 36 72 102 106 150 162 256 268 312 316 346 382 390 418	-140173849630
SPT(16)	980523459024658657	0 10 36 40 54 70 96 106 114 124 150 166 180 184 210 220	-93699163174
STPT(10)	980523613763189927	0 2 54 56 72 74 90 92 144 146	61039368096
SPT(16)	980523901712830169	0 8 38 80 90 92 120 128 162 170 198 200 210 252 282 290	348989008338
STPT(10)	980523936299527517	0 2 30 32 102 104 174 176 204 206	383575705686
SPT(16)	980525100000197249	0 14 68 102 144 150 168 194 198 224 242 248 290 324 378 392	1547276375418
SPT(16)	980525539077705661	0 6 40 88 120 208 216 232 276 292 300 388 420 468 502 508	1986353883830