Prime p₀= 2329507829230213001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 124 2 22 2 58 2 4 2 (?)
a_n: 0 2 30 32 60 62 186 188 210 212 270 272 276 278
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: 278
Found by: Marcel-Berlin
db: batch=81, k=14, 28 28 124 22 58 4

SPT(16)	2329507080846954347	0 26 30 50 96 110 122 146 240 264 276 290 336 356 360 386	-748383258654
STPT(10)	2329507120268024909	0 2 42 44 60 62 78 80 120 122	-708962188092
SPT(16)	2329507153914208519	0 28 30 54 58 82 88 142 210 264 270 294 298 322 324 352	-675316004482
SPT(16)	2329507532379484987	0 34 54 150 154 214 256 264 286 294 336 396 400 496 516 550	-296850728014
SPT(16)	2329507824808210063	0 6 76 90 114 120 124 168 196 240 244 250 274 288 358 364	-4422002938
STPT(10)	2329507824914233289	0 2 18 20 30 32 42 44 60 62	-4315979712
STPT(10)	2329508010743809307	0 2 24 26 42 44 60 62 84 86	181513596306
SPT(16)	2329508731952321659	0 12 48 60 70 82 130 168 172 210 258 270 280 292 328 340	902722108658
SPT(16)	2329508959635556007	0 14 44 72 74 80 102 140 144 182 204 210 212 240 270 284	1130405343006
SPT(16)	2329509037333311059	0 18 42 78 90 102 108 120 132 144 150 162 174 210 234 252	1208103098058
STPT(10)	2329509348698453807	0 2 12 14 42 44 72 74 84 86	1519468240806