Prime p₀= 2161110670479468821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 76 2 28 2 28 2 22 2 16 2 (?)
a_n: 0 2 168 170 246 248 276 278 306 308 330 332 348 350
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: 350
Found by: Landjunge
db: batch=81, k=14, 166 76 28 28 22 16

STPT(10)	2161109302632757229	0 2 18 20 30 32 42 44 60 62	-1367846711592
TPT(14)	2161109357770236161	0 2 36 38 78 80 210 212 288 290 318 320 408 410	-1312709232660
TPT(14)	2161109666764097627	0 2 42 44 222 224 294 296 342 344 420 422 474 476	-1003715371194
SPT(16)	2161110146184827009	0 8 14 42 44 90 128 134 138 144 182 228 230 258 264 272	-524294641812
SPT(16)	2161110189363694619	0 14 18 32 44 114 134 164 198 228 248 318 330 344 348 362	-481115774202
STPT(10)	2161110323989683497	0 2 30 32 72 74 114 116 144 146	-346489785324
SPT(16)	2161111155232105151	0 26 36 38 48 56 62 66 122 126 132 140 150 152 162 188	484752636330
SPT(16)	2161111218805603453	0 4 16 54 58 76 90 120 124 154 168 186 190 228 240 244	548326134632
STPT(10)	2161111296743223701	0 2 30 32 60 62 90 92 120 122	626263754880
SPT(16)	2161111352263767613	0 24 84 94 114 118 138 156 178 196 216 220 240 250 310 334	681784298792
SPT(16)	2161111408178485589	0 38 72 80 98 114 170 180 182 192 248 264 282 290 324 362	737699016768