Prime p₀= 3008990586277832699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 34 2 40 2 28 2 40 2 (?)
a_n: 0 2 12 14 102 104 138 140 180 182 210 212 252 254
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: 254
Found by: Orange Kid
db: batch=82, k=14, 10 88 34 40 28 40

STPT(10)	3008989598844738989	0 2 18 20 30 32 42 44 60 62	-987433093710
SPT(16)	3008989746165520099	0 24 30 34 58 72 90 94 198 202 220 234 258 262 268 292	-840112312600
SPT(16)	3008989863250709021	0 32 68 110 116 158 168 182 246 260 270 312 318 360 396 428	-723027123678
SPT(16)	3008989876586417807	0 20 26 62 72 96 102 144 152 194 200 224 234 270 276 296	-709691414892
SPT(16)	3008990239352087227	0 42 46 52 54 72 76 84 142 150 154 172 174 180 184 226	-346925745472
TPT(14)	3008990410083404321	0 2 120 122 126 128 210 212 246 248 276 278 366 368	-176194428378
STPT(12)	3008990662493291849	0 2 60 62 72 74 90 92 102 104 162 164	76215459150
SPT(16)	3008990739627657749	0 12 30 32 44 54 74 122 132 180 200 210 222 224 242 254	153349825050
SPT(16)	3008990766276268597	0 4 6 24 70 160 174 202 414 442 456 546 592 610 612 616	179998435898
SPT(16)	3008990784865299547	0 4 46 70 82 132 150 166 180 196 214 264 276 300 342 346	198587466848
TPT(14)	3008990842457044871	0 2 18 20 30 32 96 98 108 110 156 158 186 188	256179212172