Prime p₀= 2869411170511456787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 16 2 46 2 58 2 22 2 (?)
a_n: 0 2 30 32 84 86 102 104 150 152 210 212 234 236
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: 236
Found by: JayPi
db: batch=82, k=14, 28 52 16 46 58 22

SPT(16)	2869409750298066551	0 8 50 78 86 90 92 102 146 156 158 162 170 198 240 248	-1420213390236
STPT(12)	2869410074661169379	0 2 30 32 60 62 240 242 270 272 300 302	-1095850287408
TPT(14)	2869410308568447899	0 2 138 140 162 164 168 170 180 182 318 320 360 362	-861943008888
SPT(16)	2869410396324914023	0 64 84 126 148 196 238 270 274 306 348 396 418 460 480 544	-774186542764
SPT(16)	2869410446201858731	0 40 42 78 90 100 112 120 208 216 228 238 250 286 288 328	-724309598056
STPT(10)	2869411027802402117	0 2 60 62 72 74 84 86 144 146	-142709054670
STPT(10)	2869411480463899001	0 2 36 38 78 80 120 122 156 158	309952442214
SPT(13)	2869411499182100863	0 48 90 96 126 138 168 198 210 240 246 288 336	328670644076
SPT(16)	2869411553207580721	0 16 18 28 40 72 82 130 138 186 196 228 240 250 252 268	382696123934
STPT(10)	2869412279837532617	0 2 24 26 42 44 60 62 84 86	1109326075830
SPT(13)	2869412304910524683	0 60 120 156 186 198 228 258 270 300 336 396 456	1134399067896