Prime p₀= 818239296042824039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 10 2 10 2 28 2 58 2 (?)
a_n: 0 2 60 62 168 170 180 182 192 194 222 224 282 284
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: 284
Found by: fzs600
db: batch=73, k=14, 58 106 10 10 28 58

SPT(16)	818238897439559983	0 10 30 46 48 58 78 100 204 226 246 256 258 274 294 304	-398603264056
SPT(16)	818238919947507217	0 22 46 70 106 120 124 126 130 132 136 150 186 210 234 256	-376095316822
SPT(20)	818238952560590669	0 30 42 50 104 108 120 128 138 140 162 164 174 182 194 198 252 260 272 302	-343482233370
STPT(10)	818238963763761509	0 2 12 14 30 32 48 50 60 62	-332279062530
SPT(16)	818239180437825053	0 8 18 68 78 90 138 140 144 146 194 206 216 266 276 284	-115604998986
SPT(16)	818239287319842191	0 12 20 56 86 102 110 156 212 258 266 282 312 348 356 368	-8722981848
SPT(16)	818239975444545727	0 40 42 54 72 94 112 154 162 204 222 244 262 274 276 316	679401721688
SPT(16)	818240243078965757	0 24 74 114 120 122 182 200 204 222 282 284 290 330 380 404	947036141718
TPT(14)	818240450112380357	0 2 54 56 210 212 234 236 240 242 252 254 294 296	1154069556318
STPT(10)	818241091010042429	0 2 72 74 120 122 168 170 240 242	1794967218390
SPT(16)	818241496737270233	0 6 20 50 56 78 96 104 180 188 206 228 234 264 278 284	2200694446194