Prime p₀= 878634261795043751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 28 2 28 2 40 2 40 2 (?)
a_n: 0 2 60 62 126 128 156 158 186 188 228 230 270 272
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: Frank [NT]
db: batch=73, k=14, 58 64 28 28 40 40

SPT(16)	878633848945703687	0 2 30 50 62 72 92 110 114 132 152 162 174 194 222 224	-412849340064
SPT(16)	878633852280501683	0 38 44 84 90 114 116 126 188 198 200 224 230 270 276 314	-409514542068
SPT(16)	878633921478303461	0 48 56 78 86 108 122 150 188 216 230 252 260 282 290 338	-340316740290
TPT(14)	878634073149552527	0 2 90 92 120 122 162 164 174 176 210 212 222 224	-188645491224
SPT(16)	878634083223818543	0 18 48 98 116 128 164 230 294 360 396 408 426 476 506 524	-178571225208
STPT(10)	878634118676597807	0 2 30 32 42 44 54 56 84 86	-143118445944
TPT(16)	878634376912881101	0 2 60 62 78 80 126 128 198 200 210 212 216 218 240 242	115117837350
STPT(10)	878634527579569637	0 2 30 32 60 62 90 92 120 122	265784525886
STPT(10)	878634631447861817	0 2 60 62 72 74 84 86 144 146	369652818066
STPT(10)	878635090063449611	0 2 6 8 48 50 90 92 96 98	828268405860
SPT(16)	878635441532764543	0 60 84 130 136 148 150 154 210 214 216 228 234 280 304 364	1179737720792