Prime p₀= 1128429856510667741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 94 2 40 2 10 2 16 2 (?)
a_n: 0 2 90 92 120 122 216 218 258 260 270 272 288 290
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: 290
Found by: crashtech
db: batch=76, k=14, 88 28 94 40 10 16

SPT(16)	1128428765068815139	0 10 12 28 40 52 54 112 150 208 210 222 234 250 252 262	-1091441852602
STPT(10)	1128428846343845237	0 2 42 44 72 74 102 104 144 146	-1010166822504
STPT(10)	1128429269363546321	0 2 96 98 108 110 120 122 216 218	-587147121420
SPT(16)	1128429358481969099	0 62 84 122 128 132 140 152 210 222 230 234 240 278 300 362	-498028698642
STPT(10)	1128429730982253521	0 2 6 8 48 50 90 92 96 98	-125528414220
SPT(16)	1128429792416217721	0 40 42 52 126 148 162 178 210 226 240 262 336 346 348 388	-64094450020
SPT(18)	1128429910454843119	0 30 78 82 84 154 180 222 238 294 310 352 378 448 450 454 502 532	53944175378
TPT(14)	1128429980597764721	0 2 30 32 90 92 156 158 240 242 270 272 336 338	124087096980
STPT(10)	1128430225661907431	0 2 6 8 48 50 90 92 96 98	369151239690
STPT(10)	1128430446857489297	0 2 30 32 42 44 54 56 84 86	590346821556
SPT(16)	1128430617376375273	0 34 48 60 78 100 160 174 184 198 258 280 298 310 324 358	760865707532