Prime p₀= 1555403244108792269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 118 2 28 2 40 2 136 2 52 2 (?)
a_n: 0 2 78 80 198 200 228 230 270 272 408 410 462 464
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: 464
Found by: crashtech
db: batch=78, k=14, 76 118 28 40 136 52

STPT(10)	1555402469327823341	0 2 36 38 78 80 120 122 156 158	-774780968928
SPT(16)	1555402677730913329	0 22 28 30 40 58 114 142 180 208 264 282 292 294 300 322	-566377878940
SPT(20)	1555403053625722991	0 42 60 72 140 156 230 236 270 302 390 422 456 462 536 552 620 632 650 692	-190483069278
SPT(16)	1555403076973608221	0 2 50 72 80 90 128 156 182 210 248 258 266 288 336 338	-167135184048
SPT(16)	1555403153310094367	0 12 60 66 74 96 140 164 252 276 320 342 350 356 404 416	-90798697902
SPT(16)	1555403227462180973	0 24 38 74 84 128 134 224 360 450 456 500 510 546 560 584	-16646611296
STPT(10)	1555403475888670319	0 2 18 20 30 32 42 44 60 62	231779878050
SPT(16)	1555403579424963757	0 4 24 40 82 124 132 144 202 214 222 264 306 322 342 346	335316171488
SPT(16)	1555403761404476681	0 8 42 48 78 96 146 188 210 252 302 320 350 356 390 398	517295684412
STPT(10)	1555403993676948587	0 2 12 14 42 44 72 74 84 86	749568156318
STPT(10)	1555404126050598581	0 2 6 8 18 20 30 32 36 38	881941806312