Prime p₀= 1032186055123652171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 40 2 4 2 118 2 28 2 (?)
a_n: 0 2 30 32 108 110 150 152 156 158 276 278 306 308
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: 308
Found by: Theadalus
db: batch=76, k=14, 28 76 40 4 118 28

SPT(16)	1032184846984736957	0 54 66 72 84 134 186 222 224 260 312 362 374 380 392 446	-1208138915214
SPT(16)	1032184900395690323	0 14 18 36 44 60 74 80 84 90 104 120 128 146 150 164	-1154727961848
SPT(16)	1032185885930272823	0 14 18 36 44 50 74 96 98 120 144 150 158 176 180 194	-169193379348
STPT(10)	1032185920156913747	0 2 30 32 42 44 54 56 84 86	-134966738424
STPT(10)	1032185943994995269	0 2 18 20 30 32 42 44 60 62	-111128656902
STPT(10)	1032185971816299239	0 2 18 20 60 62 102 104 120 122	-83307352932
SPT(16)	1032186600612447233	0 18 38 48 78 90 98 108 140 150 158 170 200 210 230 248	545488795062
SPT(16)	1032186655418240071	0 60 88 102 148 156 180 222 256 298 322 330 376 390 418 478	600294587900
SPT(16)	1032187154417154607	0 16 34 40 70 100 102 124 132 154 156 186 216 222 240 256	1099293502436
STPT(10)	1032187191861773999	0 2 18 20 30 32 42 44 60 62	1136738121828
TPT(14)	1032187257818371181	0 2 60 62 126 128 228 230 366 368 456 458 468 470	1202694719010