Prime p₀= 1429861787949225479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 28 2 34 2 28 2 58 2 (?)
a_n: 0 2 90 92 102 104 132 134 168 170 198 200 258 260
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: 260
Found by: Theadalus
db: batch=78, k=14, 88 10 28 34 28 58

SPT(16)	1429861209031017391	0 6 12 66 82 90 100 142 150 192 202 210 226 280 286 292	-578918208088
SPT(16)	1429861223493201397	0 12 42 52 90 112 126 240 262 376 390 412 450 460 490 502	-564456024082
STPT(10)	1429861240994855489	0 2 18 20 30 32 42 44 60 62	-546954369990
SPT(16)	1429861382906651683	0 10 18 66 70 88 114 148 156 190 216 234 238 286 294 304	-405042573796
SPT(16)	1429861483563648193	0 28 36 106 114 120 126 130 144 148 154 160 168 238 246 274	-304385577286
TPT(14)	1429861547404622819	0 2 12 14 48 50 60 62 102 104 222 224 300 302	-240544602660
STPT(10)	1429861789509464417	0 2 12 14 42 44 72 74 84 86	1560238938
STPT(10)	1429861881622826549	0 2 42 44 60 62 78 80 120 122	93673601070
STPT(12)	1429862192787785879	0 2 12 14 42 44 48 50 78 80 90 92	404838560400
SPT(16)	1429862303316199981	0 40 48 60 72 118 126 142 156 172 180 226 238 250 258 298	515366974502
SPT(16)	1429862634002830193	0 6 18 24 66 74 96 108 176 188 210 218 260 266 278 284	846053604714