Prime p₀= 2193157969181169587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 28 2 4 2 10 2 (?)
a_n: 0 2 42 44 60 62 84 86 114 116 120 122 132 134
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: 134
Found by: JayPi
db: batch=81, k=14, 40 16 22 28 4 10

SPT(16)	2193156413103391661	0 6 30 78 126 186 228 288 308 368 410 470 518 566 590 596	-1556077777926
STPT(10)	2193156592710154607	0 2 30 32 42 44 54 56 84 86	-1376471014980
SPT(16)	2193156904604700829	0 48 54 112 114 138 160 172 240 252 274 298 300 358 364 412	-1064576468758
SPT(16)	2193157328363565667	0 10 34 60 90 96 102 126 220 244 250 256 286 312 336 346	-640817603920
STPT(10)	2193157363731156971	0 2 36 38 78 80 120 122 156 158	-605450012616
SPT(16)	2193157623264244331	0 30 60 78 90 102 122 128 162 168 188 200 212 230 260 290	-345916925256
STPT(10)	2193158197183768481	0 2 6 8 18 20 30 32 36 38	228002598894
STPT(10)	2193158250950354669	0 2 42 44 60 62 78 80 120 122	281769185082
SPT(16)	2193158355515521507	0 12 66 100 172 190 192 226 276 310 312 330 402 436 490 502	386334351920
STPT(10)	2193158355972471257	0 2 30 32 42 44 54 56 84 86	386791301670
SPT(16)	2193158599710625879	0 10 22 24 30 54 94 100 204 210 250 274 280 282 294 304	630529456292