Prime p₀= 2098679504861093939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 34 2 10 2 58 2 28 2 (?)
a_n: 0 2 12 14 72 74 108 110 120 122 180 182 210 212
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: Landjunge
db: batch=80, k=14, 10 58 34 10 58 28

SPT(16)	2098677691565869177	0 4 10 22 36 60 106 124 192 210 256 280 294 306 312 316	-1813295224762
TPT(14)	2098677929112351437	0 2 90 92 102 104 210 212 222 224 240 242 270 272	-1575748742502
SPT(16)	2098678636398993083	0 14 18 36 78 84 86 128 156 198 200 206 248 266 270 284	-868462100856
SPT(16)	2098678707280332319	0 22 60 64 70 72 94 102 160 168 190 192 198 202 240 262	-797580761620
SPT(16)	2098678757535182707	0 10 22 24 76 82 100 114 412 426 444 450 502 504 516 526	-747325911232
TPT(14)	2098679040155741759	0 2 48 50 60 62 78 80 132 134 198 200 210 212	-464705352180
SPT(16)	2098679738823726131	0 12 42 98 120 146 152 176 342 366 372 398 420 476 506 518	233962632192
SPT(16)	2098680267516027439	0 70 82 112 150 160 192 234 238 280 312 322 360 390 402 472	762654933500
SPT(16)	2098680355124465603	0 18 24 56 60 66 86 96 98 108 128 134 138 170 176 194	850263371664
STPT(10)	2098680618782040497	0 2 12 14 42 44 72 74 84 86	1113920946558
STPT(10)	2098680912374056037	0 2 30 32 42 44 54 56 84 86	1407512962098