Prime p₀= 2250946604871229481 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 46 2 22 2 16 2 118 2 10 2 (?)
a_n: 0 2 138 140 186 188 210 212 228 230 348 350 360 362
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: Landjunge
db: batch=81, k=14, 136 46 22 16 118 10

STPT(10)	2250945088368828737	0 2 54 56 72 74 90 92 144 146	-1516502400744
STPT(10)	2250945184850475317	0 2 12 14 42 44 72 74 84 86	-1420020754164
SPT(20)	2250945202677271609	0 22 28 40 64 70 84 120 160 174 238 252 292 328 342 348 372 384 390 412	-1402193957872
SPT(16)	2250945271930421273	0 8 18 114 140 158 186 198 356 368 396 414 440 536 546 554	-1332940808208
SPT(16)	2250945455491145669	0 14 32 54 62 72 90 132 182 224 242 252 260 282 300 314	-1149380083812
SPT(16)	2250945462489786253	0 24 60 144 154 190 198 204 220 226 234 270 280 364 400 424	-1142381443228
STPT(10)	2250946696332884411	0 2 36 38 78 80 120 122 156 158	91461654930
STPT(10)	2250947409325936169	0 2 30 32 60 62 90 92 120 122	804454706688
SPT(16)	2250947536679125139	0 18 20 72 78 122 162 228 272 338 378 422 428 480 482 500	931807895658
STPT(10)	2250947637009215621	0 2 36 38 78 80 120 122 156 158	1032137986140
STPT(10)	2250947884460405027	0 2 42 44 72 74 102 104 144 146	1279589175546