Prime p₀= 2178870253385631569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 16 2 40 2 136 2 22 2 16 2 (?)
a_n: 0 2 150 152 168 170 210 212 348 350 372 374 390 392
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: 392
Found by: Penguin
db: batch=81, k=14, 148 16 40 136 22 16

SPT(16)	2178868791986240383	0 24 94 96 138 228 250 264 280 294 316 406 448 450 520 544	-1461399391186
STPT(10)	2178869063144103299	0 2 12 14 30 32 48 50 60 62	-1190241528270
SPT(16)	2178869257202379559	0 10 12 54 72 82 94 114 208 228 240 250 268 310 312 322	-996183252010
SPT(16)	2178869323382089717	0 10 12 54 60 66 96 124 192 220 250 256 262 304 306 316	-930003541852
SPT(16)	2178870133938748801	0 6 40 42 70 78 118 130 168 180 220 228 256 258 292 298	-119446882768
SPT(16)	2178870206612854451	0 12 50 72 86 98 126 146 162 182 210 222 236 258 296 308	-46772777118
STPT(10)	2178870449242441037	0 2 30 32 72 74 114 116 144 146	195856809468
SPT(16)	2178870640936752221	0 78 92 96 140 156 182 188 210 216 242 258 302 306 320 398	387551120652
STPT(10)	2178870662744707037	0 2 12 14 42 44 72 74 84 86	409359075468
STPT(10)	2178871261186232267	0 2 54 56 132 134 210 212 264 266	1007800600698
STPT(10)	2178871388000537957	0 2 24 26 42 44 60 62 84 86	1134614906388