Prime p₀= 1016480664499906349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 268 2 40 2 118 2 28 2 46 2 (?)
a_n: 0 2 30 32 300 302 342 344 462 464 492 494 540 542
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: 542
Found by: stoneageman
db: batch=76, k=14, 28 268 40 118 28 46

SPT(16)	1016479572448649453	0 8 26 36 44 50 86 126 188 228 264 270 278 288 306 314	-1092051256896
SPT(16)	1016479903027465579	0 22 42 108 178 190 192 208 234 250 252 264 334 400 420 442	-761472440770
STPT(10)	1016480039380408037	0 2 30 32 42 44 54 56 84 86	-625119498312
SPT(16)	1016480279981079503	0 18 80 98 104 150 186 200 234 248 284 330 336 354 416 434	-384518826846
STPT(10)	1016480351309527187	0 2 30 32 72 74 114 116 144 146	-313190379162
SPT(18)	1016480363341057943	0 14 44 48 54 80 110 150 164 174 188 228 258 284 290 294 324 338	-301158848406
STPT(10)	1016481109333508681	0 2 36 38 78 80 120 122 156 158	444833602332
SPT(16)	1016481315311802569	0 38 54 62 78 92 102 104 138 140 150 164 180 188 204 242	650811896220
STPT(10)	1016481624453448337	0 2 30 32 60 62 90 92 120 122	959953541988
SPT(16)	1016482013083338331	0 10 12 18 60 78 90 136 162 208 220 238 280 286 288 298	1348583431982
SPT(16)	1016482381902886861	0 46 76 118 132 186 232 252 286 306 352 406 420 462 492 538	1717402980512