Prime p₀= 2177861770815196421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 82 2 46 2 106 2 28 2 22 2 (?)
a_n: 0 2 96 98 180 182 228 230 336 338 366 368 390 392
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: 392
Found by: [SG-FC] hl
db: batch=81, k=14, 94 82 46 106 28 22

SPT(16)	2177860680146000917	0 22 42 60 82 90 112 114 172 174 196 204 226 244 264 286	-1090669195504
SPT(16)	2177861109062464927	0 6 70 96 100 124 126 156 160 190 192 216 220 246 310 316	-661752731494
SPT(16)	2177861371963423343	0 8 36 38 54 60 68 86 108 126 134 140 156 158 186 194	-398851773078
STPT(10)	2177861515670959169	0 2 18 20 30 32 42 44 60 62	-255144237252
STPT(10)	2177861543110400429	0 2 78 80 120 122 162 164 240 242	-227704795992
STPT(10)	2177861633269677767	0 2 24 26 42 44 60 62 84 86	-137545518654
SPT(18)	2177862347570232611	0 30 38 66 72 78 98 156 222 236 302 360 380 386 392 420 428 458	576755036190
SPT(16)	2177862773498492257	0 4 34 46 60 102 126 132 214 220 244 286 300 312 342 346	1002683295836
SPT(16)	2177863245964869647	0 30 42 56 116 150 156 162 170 176 182 216 276 290 302 332	1475149673226
TPT(14)	2177863307723499677	0 2 54 56 114 116 204 206 240 242 492 494 504 506	1536908303256
SPT(16)	2177863704823571389	0 58 72 78 88 100 108 118 144 154 162 174 184 190 204 262	1934008374968