Prime p₀= 2112177835218976559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 64 2 40 2 40 2 16 2 (?)
a_n: 0 2 60 62 72 74 138 140 180 182 222 224 240 242
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: 242
Found by: vaughan
db: batch=80, k=14, 58 10 64 40 40 16

SPT(16)	2112176428313877833	0 14 36 56 74 146 186 204 206 224 264 336 354 374 396 410	-1406905098726
SPT(16)	2112176691670493191	0 22 30 42 58 76 100 142 216 258 282 300 316 328 336 358	-1143548483368
STPT(10)	2112176717000272721	0 2 30 32 120 122 210 212 240 242	-1118218703838
SPT(16)	2112176842650607861	0 16 46 58 78 120 126 148 150 172 178 220 240 252 282 298	-992568368698
STPT(10)	2112177263026971977	0 2 42 44 72 74 102 104 144 146	-572192004582
SPT(16)	2112177615014160389	0 20 42 78 92 108 132 134 168 170 194 210 224 260 282 302	-220204816170
SPT(16)	2112178422173839927	0 34 84 90 102 144 154 160 216 222 232 274 286 292 342 376	586954863368
SPT(18)	2112178479070439323	0 10 60 66 70 84 90 118 150 214 246 274 280 294 298 304 354 364	643851462764
SPT(16)	2112178821545055437	0 44 56 72 80 102 150 174 182 206 254 276 284 300 312 356	986326078878
SPT(16)	2112178834539658999	0 52 58 60 70 72 88 108 154 174 190 192 202 204 210 262	999320682440
TPT(14)	2112178951875181877	0 2 72 74 114 116 162 164 240 242 294 296 342 344	1116656205318