Prime p₀= 1058548165969848329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 88 2 10 2 28 2 76 2 (?)
a_n: 0 2 12 14 150 152 240 242 252 254 282 284 360 362
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: 362
Found by: Theadalus
db: batch=76, k=14, 10 136 88 10 28 76

SPT(16)	1058546412791774551	0 10 36 40 66 106 120 150 166 196 210 250 276 280 306 316	-1753178073778
STPT(10)	1058546654199988571	0 2 36 38 78 80 120 122 156 158	-1511769859758
SPT(16)	1058547393423864793	0 54 100 138 144 148 166 196 198 228 246 250 256 294 340 394	-772545983536
SPT(16)	1058547864217822123	0 48 78 90 124 178 216 220 234 238 276 330 364 376 406 454	-301752026206
SPT(16)	1058547986300156701	0 12 66 76 90 112 126 136 156 166 180 202 216 226 280 292	-179669691628
SPT(16)	1058548155135169711	0 52 70 96 106 108 130 136 162 168 190 192 202 228 246 298	-10834678618
STPT(10)	1058548221516651959	0 2 18 20 30 32 42 44 60 62	55546803630
STPT(10)	1058548474262191667	0 2 42 44 72 74 102 104 144 146	308292343338
STPT(10)	1058548631984446451	0 2 36 38 78 80 120 122 156 158	466014598122
SPT(16)	1058548874920326871	0 6 90 130 132 148 162 168 190 196 210 226 228 268 352 358	708950478542
STPT(10)	1058548979397761387	0 2 84 86 132 134 180 182 264 266	813427913058