Prime p₀= 1143531851159096417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 28 2 28 2 10 2 (?)
a_n: 0 2 30 32 54 56 72 74 102 104 132 134 144 146
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: 146
Found by: Putin Has a Small Dick
db: batch=76, k=14, 28 22 16 28 28 10

SPT(16)	1143530920831969721	0 2 6 8 36 86 98 146 192 240 252 302 330 332 336 338	-930327126696
STPT(10)	1143530942745314489	0 2 42 44 60 62 78 80 120 122	-908413781928
SPT(16)	1143531015837588107	0 42 60 104 122 132 134 144 230 240 242 252 270 314 332 374	-835321508310
STPT(10)	1143531069718388957	0 2 60 62 72 74 84 86 144 146	-781440707460
STPT(10)	1143531183548379641	0 2 36 38 78 80 120 122 156 158	-667610716776
STPT(10)	1143531326319656507	0 2 72 74 102 104 132 134 204 206	-524839439910
STPT(10)	1143532300986407999	0 2 42 44 60 62 78 80 120 122	449827311582
TPT(16)	1143532594115892371	0 2 18 20 30 32 96 98 138 140 156 158 180 182 186 188	742956795954
TPT(14)	1143532681492102877	0 2 42 44 120 122 150 152 162 164 264 266 294 296	830333006460
STPT(10)	1143532705162515257	0 2 42 44 72 74 102 104 144 146	854003418840
SPT(16)	1143532961577329149	0 94 138 184 190 198 208 222 250 264 274 282 288 334 378 472	1110418232732