Prime p₀= 732836675188570649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 28 2 10 2 28 2 16 2 70 2 (?)
a_n: 0 2 138 140 168 170 180 182 210 212 228 230 300 302
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: 302
Found by: Theadalus
db: batch=73, k=14, 136 28 10 28 16 70

SPT(16)	732836220637348873	0 94 108 136 148 156 190 196 198 204 238 246 258 286 300 394	-454551221776
TPT(14)	732836420951729747	0 2 72 74 102 104 252 254 312 314 354 356 384 386	-254236840902
SPT(16)	732836505309095477	0 14 24 36 42 44 72 86 120 134 162 164 170 182 192 206	-169879475172
SPT(16)	732836559229625171	0 6 12 18 110 180 198 222 356 380 398 468 560 566 572 578	-115958945478
SPT(18)	732836574233198857	0 16 22 42 52 66 70 100 112 144 156 186 190 204 214 234 240 256	-100955371792
STPT(10)	732836645103302429	0 2 18 20 30 32 42 44 60 62	-30085268220
SPT(16)	732836688852781727	0 2 44 56 60 92 126 132 224 230 264 296 300 312 354 356	13664211078
STPT(10)	732837264931950749	0 2 18 20 30 32 42 44 60 62	589743380100
SPT(16)	732837421844449711	0 10 12 48 58 108 126 130 138 142 160 210 220 256 258 268	746655879062
STPT(10)	732837440998339667	0 2 12 14 42 44 72 74 84 86	765809769018
SPT(16)	732837538551888149	0 18 72 102 132 168 188 240 242 294 314 350 380 410 464 482	863363317500