Prime p₀= 1233947476583585369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 34 2 28 2 100 2 (?)
a_n: 0 2 12 14 48 50 102 104 138 140 168 170 270 272
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: 272
Found by: Theadalus
db: batch=77, k=14, 10 34 52 34 28 100

SPT(16)	1233947082848364449	0 8 42 50 74 102 104 108 134 138 140 168 192 200 234 242	-393735220920
SPT(16)	1233947209780979791	0 18 30 48 88 96 186 210 268 292 382 390 430 448 460 478	-266802605578
SPT(16)	1233947281426549381	0 40 72 136 138 150 160 178 240 258 268 280 282 346 378 418	-195157035988
SPT(16)	1233947301072082171	0 18 78 102 112 126 138 172 186 220 232 246 256 280 340 358	-175511503198
STPT(10)	1233947310307479659	0 2 48 50 90 92 132 134 180 182	-166276105710
STPT(10)	1233947462723725229	0 2 18 20 30 32 42 44 60 62	-13859860140
SPT(16)	1233947508716467201	0 10 16 28 30 60 70 108 118 156 166 196 198 210 216 226	32132881832
SPT(16)	1233948093886453831	0 12 22 42 72 96 106 130 138 162 172 196 226 246 256 268	617302868462
STPT(10)	1233948122540470121	0 2 36 38 78 80 120 122 156 158	645956884752
STPT(10)	1233948257398908377	0 2 30 32 42 44 54 56 84 86	780815323008
STPT(10)	1233948824047993367	0 2 12 14 42 44 72 74 84 86	1347464407998