Prime p₀= 2222003806771616837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 16 2 40 2 64 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 114 116 180 182
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: 182
Found by: Landjunge
db: batch=81, k=14, 10 16 22 16 40 64

SPT(16)	2222003265755074861	0 22 100 108 126 132 156 178 180 202 226 232 250 258 336 358	-541016541976
SPT(16)	2222003454099983483	0 18 24 26 56 80 86 96 128 138 144 168 198 200 206 224	-352671633354
STPT(10)	2222003544096771509	0 2 42 44 90 92 138 140 180 182	-262674845328
STPT(10)	2222003618424759311	0 2 6 8 18 20 30 32 36 38	-188346857526
SPT(16)	2222003622254872471	0 12 22 42 52 72 96 126 136 166 190 210 220 240 250 262	-184516744366
SPT(16)	2222003694253642543	0 54 76 90 114 150 154 156 178 180 184 220 244 258 280 334	-112517974294
SPT(16)	2222003863932029587	0 12 16 22 54 60 114 142 144 172 226 232 264 270 274 286	57160412750
SPT(16)	2222004267232370587	0 72 94 126 172 180 220 304 312 396 436 444 490 522 544 616	460460753750
SPT(16)	2222004574868922689	0 32 42 48 62 68 150 152 180 182 264 270 284 290 300 332	768097305852
SPT(16)	2222004611401488691	0 22 70 72 82 96 126 130 138 142 172 186 196 198 246 268	804629871854
STPT(10)	2222004832225065917	0 2 12 14 42 44 72 74 84 86	1025453449080