Prime p₀= 1892987020076655617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 16 2 70 2 4 2 40 2 40 2 (?)
a_n: 0 2 114 116 132 134 204 206 210 212 252 254 294 296
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: mikey
db: batch=79, k=14, 112 16 70 4 40 40

SPT(16)	1892986374607988417	0 6 30 36 90 114 132 134 162 164 182 206 260 266 290 296	-645468667200
STPT(10)	1892986464854243621	0 2 30 32 78 80 126 128 156 158	-555222411996
STPT(10)	1892986480930458647	0 2 30 32 42 44 54 56 84 86	-539146196970
SPT(16)	1892986653944886949	0 28 52 60 130 138 150 180 220 250 262 270 340 348 372 400	-366131768668
STPT(10)	1892986867554268667	0 2 30 32 42 44 54 56 84 86	-152522386950
SPT(16)	1892986923053015681	0 6 36 48 78 80 140 180 206 246 306 308 338 350 380 386	-97023639936
STPT(10)	1892987058629495357	0 2 60 62 72 74 84 86 144 146	38552839740
SPT(16)	1892987614257149131	0 10 18 42 52 66 96 102 106 112 142 156 166 190 198 208	594180493514
TPT(14)	1892987718474166187	0 2 12 14 54 56 144 146 150 152 210 212 222 224	698397510570
SPT(16)	1892987933911411411	0 6 46 48 72 88 90 132 166 208 210 226 250 252 292 298	913834755794
SPT(16)	1892988008419533787	0 24 42 84 100 126 130 132 154 156 160 186 202 244 262 286	988342878170