Prime p₀= 2782881321446690801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 22 2 16 2 58 2 40 2 (?)
a_n: 0 2 78 80 96 98 120 122 138 140 198 200 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 76 16 22 16 58 40

TPT(14)	2782879258342470059	0 2 12 14 48 50 90 92 192 194 210 212 222 224	-2063104220742
SPT(16)	2782879546475060573	0 14 38 56 60 78 116 150 224 258 296 314 318 336 360 374	-1774971630228
SPT(16)	2782879870683520183	0 10 16 34 120 136 156 226 294 364 384 400 486 504 510 520	-1450763170618
STPT(10)	2782880922063655079	0 2 18 20 30 32 42 44 60 62	-399383035722
SPT(16)	2782881025656265181	0 26 36 48 68 90 96 126 140 170 176 198 218 230 240 266	-295790425620
STPT(10)	2782881060334904027	0 2 30 32 72 74 114 116 144 146	-261111786774
SPT(16)	2782881382431913691	0 18 36 38 48 78 158 218 258 318 398 428 438 440 458 476	60985222890
SPT(16)	2782881481876166399	0 32 68 72 92 120 138 182 198 242 260 288 308 312 348 380	160429475598
SPT(16)	2782881541430282443	0 28 30 40 78 84 114 118 126 130 160 166 204 214 216 244	219983591642
SPT(16)	2782881733592776331	0 6 36 48 50 80 162 176 222 236 318 348 350 362 392 398	412146085530
STPT(10)	2782881768221698007	0 2 12 14 72 74 132 134 144 146	446775007206