Prime p₀= 979910369344843679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 16 2 58 2 22 2 184 2 (?)
a_n: 0 2 72 74 120 122 138 140 198 200 222 224 408 410
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: 410
Found by: Theadalus
db: batch=76, k=14, 70 46 16 58 22 184

SPT(16)	979909537225178179	0 60 90 100 102 118 124 142 270 288 294 310 312 322 352 412	-832119665500
STPT(10)	979909559639507087	0 2 42 44 132 134 222 224 264 266	-809705336592
STPT(10)	979909763481555449	0 2 48 50 90 92 132 134 180 182	-605863288230
SPT(16)	979909836655762339	0 28 52 70 112 178 202 222 250 270 294 360 402 420 444 472	-532689081340
SPT(16)	979909992586906859	0 24 38 78 92 114 158 162 170 174 218 240 254 294 308 332	-376757936820
SPT(16)	979910284460744089	0 10 22 24 60 84 94 112 162 180 190 214 250 252 264 274	-84884099590
STPT(10)	979910753693741921	0 2 6 8 18 20 30 32 36 38	384348898242
SPT(16)	979911321448383617	0 14 60 80 102 122 132 150 314 332 342 362 384 404 450 464	952103539938
SPT(16)	979911449553718757	0 50 66 102 122 132 162 176 216 230 260 270 290 326 342 392	1080208875078
SPT(20)	979911579343894943	0 6 56 84 114 120 168 176 246 260 264 278 348 356 404 410 440 468 518 524	1209999051264
SPT(16)	979911809412626053	0 28 34 40 66 78 120 150 274 304 346 358 384 390 396 424	1440067782374