Prime p₀= 1124718717141788651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 4 2 22 2 16 2 10 2 (?)
a_n: 0 2 120 122 150 152 156 158 180 182 198 200 210 212
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: 212
Found by: amazing
db: batch=76, k=14, 118 28 4 22 16 10

SPT(16)	1124717046057173171	0 32 36 38 42 50 56 66 92 102 108 116 120 122 126 158	-1671084615480
SPT(16)	1124717180375442551	0 8 42 50 60 66 86 98 150 162 182 188 198 206 240 248	-1536766346100
TPT(14)	1124717471425499849	0 2 18 20 120 122 132 134 228 230 282 284 300 302	-1245716288802
STPT(10)	1124717725725758807	0 2 30 32 42 44 54 56 84 86	-991416029844
SPT(20)	1124718034075195783	0 10 84 94 100 130 174 198 256 276 328 348 406 430 474 504 510 520 594 604	-683066592868
SPT(16)	1124718479610086939	0 8 12 50 68 78 110 152 168 210 242 252 270 308 312 320	-237531701712
SPT(18)	1124718911883777461	0 6 26 30 66 96 128 216 248 258 290 378 410 440 476 480 500 506	194741988810
SPT(16)	1124719224350458753	0 4 24 46 106 108 126 168 196 238 256 258 318 340 360 364	507208670102
SPT(16)	1124719530358502699	0 20 32 74 80 132 152 158 174 180 200 252 258 300 312 332	813216714048
STPT(10)	1124719699193695901	0 2 6 8 18 20 30 32 36 38	982051907250
SPT(16)	1124719742458568549	0 14 20 30 60 62 108 122 150 164 210 212 242 252 258 272	1025316779898