Prime p₀= 2011613737502404571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 46 2 88 2 10 2 28 2 (?)
a_n: 0 2 30 32 48 50 96 98 186 188 198 200 228 230
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: 230
Found by: vaughan
db: batch=80, k=14, 28 16 46 88 10 28

SPT(16)	2011611872102528939	0 24 38 42 48 60 90 102 140 152 182 194 200 204 218 242	-1865399875632
STPT(10)	2011612317581189501	0 2 6 8 48 50 90 92 96 98	-1419921215070
SPT(16)	2011612449117698327	0 24 26 120 174 200 222 224 312 314 336 362 416 510 512 536	-1288384706244
SPT(16)	2011612786529701811	0 2 8 18 32 36 42 60 68 86 92 96 110 120 126 128	-950972702760
SPT(16)	2011613054628470219	0 12 14 24 62 72 84 90 104 110 122 132 170 180 182 194	-682873934352
SPT(16)	2011613387525203711	0 6 12 28 106 120 130 162 166 198 208 222 300 316 322 328	-349977200860
STPT(10)	2011614379627573517	0 2 30 32 42 44 54 56 84 86	642125168946
STPT(10)	2011614704850310457	0 2 42 44 72 74 102 104 144 146	967347905886
STPT(10)	2011614743176585247	0 2 30 32 42 44 54 56 84 86	1005674180676
STPT(10)	2011614943254858047	0 2 30 32 42 44 54 56 84 86	1205752453476
SPT(16)	2011614944387473169	0 8 50 114 120 164 194 240 272 318 348 392 398 462 504 512	1206885068598