Prime p₀= 1133121976182857201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 58 2 22 2 34 2 118 2 (?)
a_n: 0 2 60 62 126 128 186 188 210 212 246 248 366 368
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: 368
Found by: stoneageman
db: batch=76, k=14, 58 64 58 22 34 118

SPT(16)	1133120800334481311	0 62 66 86 96 110 126 132 146 152 168 182 192 212 216 278	-1175848375890
STPT(10)	1133120845226374601	0 2 36 38 78 80 120 122 156 158	-1130956482600
SPT(16)	1133120846070997879	0 12 58 60 102 112 138 142 168 172 198 208 250 252 298 310	-1130111859322
SPT(16)	1133120891117367161	0 36 78 102 140 168 210 258 260 308 350 378 416 440 482 518	-1085065490040
STPT(10)	1133121746271235751	0 2 30 32 60 62 90 92 120 122	-229911621450
SPT(16)	1133121815150950843	0 4 60 70 78 100 246 274 330 358 504 526 534 544 600 604	-161031906358
SPT(16)	1133122090308075557	0 20 26 50 54 62 92 104 132 144 174 182 186 210 216 236	114125218356
SPT(16)	1133122446328267877	0 14 26 32 44 62 132 144 152 164 234 252 264 270 282 296	470145410676
STPT(10)	1133122731766841939	0 2 12 14 30 32 48 50 60 62	755583984738
SPT(16)	1133122758974548361	0 8 48 110 116 138 158 210 236 288 308 330 336 398 438 446	782791691160
SPT(16)	1133123458327837121	0 38 78 80 92 98 132 150 158 176 210 216 228 230 270 308	1482144979920