Prime p₀= 2164035240467855969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 58 2 10 2 28 2 64 2 (?)
a_n: 0 2 12 14 30 32 90 92 102 104 132 134 198 200
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: 200
Found by: Landjunge
db: batch=81, k=14, 10 16 58 10 28 64

SPT(16)	2164034444804511599	0 12 24 38 108 110 138 150 182 194 222 224 294 308 320 332	-795663344370
STPT(10)	2164034507581595819	0 2 18 20 30 32 42 44 60 62	-732886260150
SPT(16)	2164034630426403281	0 42 72 92 126 128 152 228 260 336 360 362 396 416 446 488	-610041452688
STPT(10)	2164034706241811231	0 2 6 8 48 50 90 92 96 98	-534226044738
STPT(10)	2164035003326440289	0 2 12 14 90 92 168 170 180 182	-237141415680
STPT(10)	2164035026584736489	0 2 18 20 30 32 42 44 60 62	-213883119480
SPT(16)	2164035375413483263	0 18 90 154 174 178 180 186 208 214 216 220 240 304 376 394	134945627294
SPT(16)	2164035455881652321	0 8 26 62 66 78 90 92 126 128 140 152 156 192 210 218	215413796352
SPT(16)	2164035570609332569	0 112 118 130 168 190 210 234 238 262 282 304 342 354 360 472	330141476600
STPT(10)	2164035718239763481	0 2 36 38 78 80 120 122 156 158	477771907512
SPT(16)	2164036041230133223	0 10 18 48 66 76 88 108 118 138 150 160 178 208 216 226	800762277254