Prime p₀= 2031264052328581487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 58 2 40 2 4 2 40 2 (?)
a_n: 0 2 60 62 72 74 132 134 174 176 180 182 222 224
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: 224
Found by: Time_Traveler
db: batch=80, k=14, 58 10 58 40 4 40

SPT(13)	2031263193855313241	0 36 48 66 108 150 168 186 228 270 288 300 336	-858473268246
SPT(16)	2031263322192851059	0 42 48 112 118 150 190 208 342 360 400 432 438 502 508 550	-730135730428
SPT(16)	2031263330817953249	0 8 24 42 114 168 212 222 290 300 344 398 470 488 504 512	-721510628238
TPT(14)	2031263361186746381	0 2 30 32 36 38 48 50 60 62 90 92 126 128	-691141835106
SPT(16)	2031263629855613119	0 40 42 54 72 94 114 130 162 178 198 220 238 250 252 292	-422472968368
STPT(12)	2031263638446665717	0 2 24 26 84 86 90 92 150 152 174 176	-413881915770
SPT(16)	2031264382620731519	0 48 98 150 170 200 224 230 252 258 282 312 332 384 434 482	330292150032
SPT(13)	2031264392569729111	0 12 42 72 138 168 210 252 282 348 378 408 420	340241147624
SPT(16)	2031264429085989287	0 12 14 26 54 56 72 116 120 164 180 182 210 222 224 236	376757407800
STPT(10)	2031264959956604147	0 2 12 14 42 44 72 74 84 86	907628022660
STPT(10)	2031265083096778577	0 2 42 44 72 74 102 104 144 146	1030768197090