Prime p₀= 1122580584033030557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 70 2 64 2 58 2 52 2 (?)
a_n: 0 2 12 14 42 44 114 116 180 182 240 242 294 296
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: 296
Found by: Theadalus
db: batch=76, k=14, 10 28 70 64 58 52

SPT(16)	1122579178316699713	0 54 84 96 100 136 148 156 178 186 198 234 238 250 280 334	-1405716330844
STPT(10)	1122580011575555081	0 2 6 8 48 50 90 92 96 98	-572457475476
STPT(10)	1122580033735404059	0 2 12 14 30 32 48 50 60 62	-550297626498
TPT(14)	1122580077509201741	0 2 66 68 126 128 150 152 216 218 276 278 300 302	-506523828816
SPT(16)	1122580297335679729	0 18 22 60 70 78 94 112 120 138 154 162 172 210 214 232	-286697350828
SPT(16)	1122580431798465127	0 22 34 46 52 64 82 112 144 174 192 204 210 222 234 256	-152234565430
SPT(16)	1122580726141985009	0 32 42 60 92 102 110 128 144 162 170 180 212 230 240 272	142108954452
SPT(16)	1122580784978191849	0 22 120 148 154 162 192 204 268 280 310 318 324 352 450 472	200945161292
STPT(10)	1122580979358643559	0 2 18 20 30 32 42 44 60 62	395325613002
SPT(16)	1122581085392155531	0 6 58 70 108 120 142 148 240 246 268 280 318 330 382 388	501359124974
SPT(16)	1122581125678489357	0 24 30 34 82 90 96 102 124 130 136 144 192 196 202 226	541645458800