Prime p₀= 1056915443456736077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 196 2 172 2 4 2 10 2 (?)
a_n: 0 2 60 62 102 104 300 302 474 476 480 482 492 494
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: 494
Found by: =Lupus=
db: batch=76, k=14, 58 40 196 172 4 10

SPT(16)	1056914911100079439	0 58 88 162 172 192 220 240 310 330 358 378 388 462 492 550	-532356656638
SPT(16)	1056914969152129259	0 50 84 90 104 132 134 170 174 210 212 240 254 260 294 344	-474304606818
SPT(18)	1056914999194108211	0 26 48 56 78 86 98 128 132 176 180 210 222 230 252 260 282 308	-444262627866
TPT(14)	1056915004014404147	0 2 60 62 72 74 114 116 174 176 222 224 252 254	-439442331930
SPT(16)	1056915283940921677	0 16 30 42 100 142 150 186 250 286 294 336 394 406 420 436	-159515814400
SPT(16)	1056915311889723073	0 6 16 36 40 58 60 88 156 184 186 204 208 228 238 244	-131567013004
SPT(16)	1056915534858013469	0 2 20 72 84 108 140 162 170 192 224 248 260 312 330 332	91401277392
SPT(16)	1056915762969140161	0 42 52 70 72 76 106 120 148 162 192 196 198 216 226 268	319512404084
STPT(10)	1056915926601658061	0 2 30 32 120 122 210 212 240 242	483144921984
SPT(16)	1056915960898674299	0 2 12 48 78 80 92 150 152 210 222 224 254 290 300 302	517441938222
SPT(16)	1056915973241874197	0 2 14 20 26 44 60 72 254 266 282 300 306 312 324 326	529785138120