Prime p₀= 2829623963079281777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 28 2 16 2 10 2 16 2 (?)
a_n: 0 2 90 92 132 134 162 164 180 182 192 194 210 212
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: [SG-FC] hl
db: batch=82, k=14, 88 40 28 16 10 16

SPT(16)	2829621391791265243	0 16 58 64 84 90 120 130 144 154 184 190 210 216 258 274	-2571288016534
STPT(10)	2829622065918599009	0 2 42 44 60 62 78 80 120 122	-1897160682768
SPT(16)	2829622214978677319	0 24 48 84 108 110 120 168 230 278 288 290 314 350 374 398	-1748100604458
SPT(16)	2829622548207920249	0 12 14 54 78 110 122 144 158 180 192 224 248 288 290 302	-1414871361528
SPT(16)	2829623154893436053	0 6 14 26 54 80 120 140 144 164 204 230 258 270 278 284	-808185845724
TPT(14)	2829623261768743409	0 2 90 92 132 134 168 170 180 182 210 212 228 230	-701310538368
SPT(16)	2829624398290296319	0 10 18 48 70 82 102 172 180 250 270 282 304 334 342 352	435211014542
TPT(14)	2829624603901851839	0 2 30 32 72 74 150 152 180 182 360 362 402 404	640822570062
STPT(10)	2829624618070808651	0 2 30 32 120 122 210 212 240 242	654991526874
SPT(16)	2829624697822728863	0 36 66 78 120 128 150 158 168 176 198 206 248 260 290 326	734743447086
TPT(14)	2829624750346677929	0 2 18 20 42 44 90 92 258 260 372 374 378 380	787267396152