Prime p₀= 1531134691900605731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 58 2 64 2 10 2 130 2 (?)
a_n: 0 2 18 20 60 62 120 122 186 188 198 200 330 332
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: 332
Found by: crashtech
db: batch=78, k=14, 16 40 58 64 10 130

SPT(16)	1531133279646510731	0 2 38 90 116 140 158 228 380 450 468 492 518 570 606 608	-1412254095000
SPT(16)	1531133619650637911	0 60 62 72 96 108 150 152 186 188 230 242 266 276 278 338	-1072249967820
SPT(16)	1531133822011053067	0 30 40 42 52 54 70 126 190 246 262 264 274 276 286 316	-869889552664
SPT(16)	1531133979116391047	0 12 26 104 116 140 144 146 180 182 186 210 222 300 314 326	-712784214684
SPT(16)	1531134611118297761	0 2 56 66 102 158 168 176 192 200 210 266 302 312 366 368	-80782307970
STPT(10)	1531134657673943009	0 2 42 44 120 122 198 200 240 242	-34226662722
STPT(10)	1531135051476979211	0 2 96 98 168 170 240 242 336 338	359576373480
STPT(10)	1531135798282938047	0 2 30 32 72 74 114 116 144 146	1106382332316
STPT(10)	1531135994754717647	0 2 90 92 102 104 114 116 204 206	1302854111916
STPT(10)	1531136201182700207	0 2 30 32 42 44 54 56 84 86	1509282094476
STPT(10)	1531137047411911097	0 2 30 32 72 74 114 116 144 146	2355511305366