Prime p₀= 1458219983930636387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 250 2 4 2 28 2 (?)
a_n: 0 2 42 44 60 62 102 104 354 356 360 362 390 392
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: 392
Found by: [SG-2W]Kurzer
db: batch=78, k=14, 40 16 40 250 4 28

SPT(16)	1458218866458772009	0 18 40 54 88 114 144 168 184 208 238 264 298 312 334 352	-1117471864378
STPT(10)	1458218934938213429	0 2 42 44 60 62 78 80 120 122	-1048992422958
STPT(10)	1458219100511730257	0 2 30 32 42 44 54 56 84 86	-883418906130
STPT(10)	1458219250234726907	0 2 12 14 72 74 132 134 144 146	-733695909480
SPT(16)	1458219253589563021	0 6 22 30 46 112 130 162 166 198 216 282 298 306 322 328	-730341073366
SPT(16)	1458219470974066511	0 8 20 42 96 110 116 126 152 162 168 182 236 258 270 278	-512956569876
SPT(16)	1458220392781565729	0 8 12 108 122 144 164 170 192 198 218 240 254 350 354 362	408850929342
STPT(10)	1458220711909820657	0 2 30 32 42 44 54 56 84 86	727979184270
TPT(16)	1458220772590134281	0 2 66 68 156 158 180 182 240 242 288 290 330 332 378 380	788659497894
STPT(10)	1458220805519150051	0 2 36 38 78 80 120 122 156 158	821588513664
SPT(20)	1458220987277044703	0 6 56 66 114 144 150 164 230 240 350 360 426 440 446 476 524 534 584 590	1003346408316