Prime p₀= 2815393606879699187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 16 2 88 2 28 2 208 2 (?)
a_n: 0 2 24 26 84 86 102 104 192 194 222 224 432 434
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: 434
Found by: JayPi
db: batch=82, k=14, 22 58 16 88 28 208

STPT(10)	2815392883497265319	0 2 138 140 180 182 222 224 360 362	-723382433868
TPT(14)	2815392935503047857	0 2 12 14 114 116 192 194 222 224 270 272 282 284	-671376651330
STPT(12)	2815393006968506057	0 2 30 32 42 44 120 122 132 134 162 164	-599911193130
SPT(16)	2815393066910843753	0 8 20 38 54 78 110 224 270 384 416 440 456 474 486 494	-539968855434
SPT(20)	2815393145617018457	0 54 80 86 96 110 134 156 182 194 222 234 260 282 306 320 330 336 362 416	-461262680730
SPT(16)	2815393211219178173	0 24 30 86 114 134 140 168 206 234 240 260 288 344 350 374	-395660521014
STPT(10)	2815393871731996571	0 2 30 32 78 80 126 128 156 158	264852297384
SPT(16)	2815394050649240719	0 18 42 88 102 120 130 142 168 180 190 208 222 268 292 310	443769541532
STPT(10)	2815394053724517227	0 2 30 32 42 44 54 56 84 86	446844818040
SPT(13)	2815394127240407437	0 36 60 72 90 132 186 240 282 300 312 336 372	520360708250
SPT(16)	2815394914624040699	0 12 152 174 194 230 242 264 320 342 354 390 410 432 572 584	1307744341512