Prime p₀= 1901348520963141161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 136 2 88 2 88 2 40 2 4 2 (?)
a_n: 0 2 60 62 198 200 288 290 378 380 420 422 426 428
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: 428
Found by: Landjunge
db: batch=80, k=14, 58 136 88 88 40 4

TPT(14)	1901347157280712577	0 2 60 62 72 74 120 122 174 176 210 212 294 296	-1363682428584
SPT(16)	1901347573458196057	0 46 60 90 96 106 120 150 190 220 234 244 250 280 294 340	-947504945104
SPT(16)	1901347838583598793	0 20 24 48 78 110 126 128 216 218 234 266 296 320 324 344	-682379542368
SPT(16)	1901348186285538209	0 50 60 72 104 120 134 164 168 198 212 228 260 272 282 332	-334677602952
SPT(16)	1901348422537223017	0 4 52 72 96 150 184 186 220 222 256 310 334 354 402 406	-98425918144
SPT(16)	1901348443764980429	0 30 38 84 240 242 258 270 272 284 300 302 458 504 512 542	-77198160732
STPT(10)	1901348521559773799	0 2 42 44 60 62 78 80 120 122	596632638
SPT(16)	1901349458393701333	0 10 36 54 66 76 84 108 166 190 198 208 220 238 264 274	937430560172
STPT(12)	1901349522848874269	0 2 12 14 42 44 78 80 108 110 120 122	1001885733108
SPT(16)	1901349539489222621	0 36 38 42 66 68 78 122 156 200 210 212 236 240 242 278	1018526081460
SPT(16)	1901349745014513683	0 36 66 80 86 110 156 200 204 248 294 318 324 338 368 404	1224051372522