Prime p₀= 732336607968612347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 190 2 58 2 40 2 94 2 22 2 4 2 (?)
a_n: 0 2 192 194 252 254 294 296 390 392 414 416 420 422
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: 422
Found by: Theadalus
db: batch=73, k=14, 190 58 40 94 22 4

SPT(16)	732335252645044177	0 22 24 34 52 64 84 90 94 100 120 132 150 160 162 184	-1355323568170
STPT(10)	732335403251411129	0 2 42 44 60 62 78 80 120 122	-1204717201218
SPT(16)	732335463842132947	0 4 40 42 82 84 102 150 154 202 220 222 262 264 300 304	-1144126479400
STPT(10)	732335493503451191	0 2 6 8 48 50 90 92 96 98	-1114465161156
SPT(16)	732335850462563663	0 26 44 78 84 96 114 116 138 140 158 170 176 210 228 254	-757506048684
TPT(14)	732335975287195457	0 2 12 14 24 26 252 254 300 302 360 362 390 392	-632681416890
STPT(10)	732336743863289231	0 2 6 8 18 20 30 32 36 38	135894676884
SPT(16)	732336795562154557	0 12 40 42 60 90 102 124 132 154 166 196 214 216 244 256	187593542210
SPT(18)	732336930708105661	0 42 52 66 70 78 126 136 138 220 222 232 280 288 292 306 316 358	322739493314
SPT(16)	732337036015236361	0 42 58 78 112 150 160 178 222 240 250 288 322 342 358 400	428046624014
STPT(10)	732337526234474057	0 2 60 62 72 74 84 86 144 146	918265861710