Prime p₀= 2159886119533231247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 100 2 88 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 132 134 222 224 240 242 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 10 16 100 88 16 10

SPT(16)	2159885167006501069	0 42 72 88 94 114 154 192 280 318 358 378 384 400 430 472	-952526730178
STPT(10)	2159885282103554849	0 2 18 20 30 32 42 44 60 62	-837429676398
SPT(13)	2159885644564016309	0 30 42 78 108 162 180 198 252 282 318 330 360	-474969214938
SPT(16)	2159885672973323921	0 8 30 68 80 146 168 212 216 260 282 348 360 398 420 428	-446559907326
STPT(10)	2159885938925167001	0 2 6 8 48 50 90 92 96 98	-180608064246
SPT(16)	2159885965040619889	0 78 82 124 132 150 168 192 250 274 292 310 318 360 364 442	-154492611358
STPT(10)	2159886208044518267	0 2 30 32 42 44 54 56 84 86	88511287020
SPT(16)	2159886282158823739	0 28 54 112 114 120 124 132 190 198 202 208 210 268 294 322	162625592492
STPT(10)	2159886509497998311	0 2 30 32 60 62 90 92 120 122	389964767064
SPT(16)	2159886736590224153	0 30 56 68 74 80 108 110 114 116 144 150 156 168 194 224	617056992906
SPT(16)	2159886741317974367	0 2 54 62 102 114 132 144 152 164 182 194 234 242 294 296	621784743120