Prime p₀= 1118046424859469557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 118 2 142 2 94 2 82 2 (?)
a_n: 0 2 12 14 60 62 180 182 324 326 420 422 504 506
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: 506
Found by: crashtech
db: batch=76, k=14, 10 46 118 142 94 82

SPT(16)	1118045535316180531	0 42 48 58 90 102 112 118 180 186 196 208 240 250 256 298	-889543289026
SPT(16)	1118045655134775947	0 20 42 56 66 74 110 132 164 186 222 230 240 254 276 296	-769724693610
STPT(10)	1118045772632076581	0 2 126 128 138 140 150 152 276 278	-652227392976
SPT(16)	1118046091228214033	0 54 78 86 96 114 198 246 278 326 410 428 438 446 470 524	-333631255524
STPT(10)	1118046116738271767	0 2 54 56 72 74 90 92 144 146	-308121197790
STPT(10)	1118046378465729257	0 2 30 32 42 44 54 56 84 86	-46393740300
STPT(10)	1118046754574280899	0 2 18 20 30 32 42 44 60 62	329714811342
SPT(16)	1118046914648914693	0 24 46 76 120 174 190 214 216 240 256 310 354 384 406 430	489789445136
SPT(16)	1118047110451920401	0 2 12 30 126 132 158 168 200 210 236 242 338 356 366 368	685592450844
STPT(10)	1118047171463852711	0 2 6 8 48 50 90 92 96 98	746604383154
SPT(16)	1118047189022685433	0 40 54 78 84 88 106 168 316 378 396 400 406 430 444 484	764163215876