Prime p₀= 2027529615613318571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 88 2 28 2 46 2 10 2 10 2 (?)
a_n: 0 2 18 20 108 110 138 140 186 188 198 200 210 212
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: LeChat51X
db: batch=80, k=14, 16 88 28 46 10 10

SPT(16)	2027528042556038521	0 22 76 88 102 156 186 276 322 412 442 496 510 522 576 598	-1573057280050
SPT(16)	2027528469041635423	0 24 28 48 54 66 90 108 136 154 178 190 196 216 220 244	-1146571683148
SPT(16)	2027528682730543117	0 30 42 66 76 114 142 166 210 234 262 300 310 334 346 376	-932882775454
STPT(10)	2027528873903176517	0 2 30 32 42 44 54 56 84 86	-741710142054
SPT(18)	2027529348182135393	0 30 44 56 134 140 144 180 200 204 224 260 264 270 348 360 374 404	-267431183178
STPT(10)	2027529398482737167	0 2 42 44 72 74 102 104 144 146	-217130581404
TPT(14)	2027529683309023391	0 2 36 38 156 158 198 200 450 452 498 500 570 572	67695704820
STPT(10)	2027529690026766221	0 2 6 8 18 20 30 32 36 38	74413447650
TPT(14)	2027529900745715129	0 2 12 14 30 32 78 80 150 152 168 170 192 194	285132396558
SPT(16)	2027530059740495137	0 16 34 46 106 150 204 234 322 352 406 450 510 522 540 556	444127176566
SPT(16)	2027530556270534059	0 42 70 114 118 138 154 184 258 288 304 324 328 372 400 442	940657215488