Prime p₀= 984142983176659211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 16 2 22 2 28 2 58 2 (?)
a_n: 0 2 6 8 48 50 66 68 90 92 120 122 180 182
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: Theadalus
db: batch=76, k=14, 4 40 16 22 28 58

SPT(16)	984142093613045953	0 18 40 60 124 160 196 210 334 348 384 420 484 504 526 544	-889563613258
SPT(16)	984142285803128833	0 24 28 30 64 106 138 150 154 166 198 240 274 276 280 304	-697373530378
SPT(16)	984142309749164953	0 6 18 28 106 210 228 234 280 286 304 408 486 496 508 514	-673427494258
STPT(12)	984142375330406291	0 2 18 20 30 32 96 98 108 110 126 128	-607846252920
SPT(16)	984142731015368621	0 30 32 50 60 102 116 132 140 156 170 212 222 240 242 272	-252161290590
SPT(16)	984142847149511807	0 60 116 162 192 216 284 330 356 402 470 494 524 570 626 686	-136027147404
SPT(16)	984143240740276163	0 66 74 96 140 144 198 200 204 206 260 264 308 330 338 404	257563616952
SPT(16)	984143293491655937	0 6 14 54 56 72 90 104 132 146 164 180 182 222 230 236	310314996726
SPT(16)	984143345218131529	0 12 30 48 88 144 168 202 210 244 268 324 364 382 400 412	362041472318
STPT(10)	984143413843462721	0 2 36 38 78 80 120 122 156 158	430666803510
STPT(10)	984143570980974659	0 2 48 50 90 92 132 134 180 182	587804315448