Prime p₀= 2148588013822739141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 64 2 28 2 40 2 58 2 (?)
a_n: 0 2 6 8 90 92 156 158 186 188 228 230 288 290
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: 290
Found by: JayPi
db: batch=81, k=14, 4 82 64 28 40 58

SPT(16)	2148586470525815339	0 32 42 50 68 90 104 110 132 138 152 174 192 200 210 242	-1543296923802
SPT(16)	2148586541460423257	0 14 56 84 102 152 156 162 194 200 204 254 272 300 342 356	-1472362315884
SPT(16)	2148586549415384359	0 10 24 52 58 88 114 138 154 178 204 234 240 268 282 292	-1464407354782
SPT(16)	2148586805252862761	0 8 20 98 152 180 230 246 272 288 338 366 420 498 510 518	-1208569876380
STPT(10)	2148587177628806567	0 2 42 44 72 74 102 104 144 146	-836193932574
SPT(16)	2148587732682623471	0 30 66 110 152 162 176 180 182 186 200 210 252 296 332 362	-281140115670
STPT(10)	2148588018229146587	0 2 30 32 60 62 90 92 120 122	4406407446
STPT(10)	2148588057517381559	0 2 48 50 60 62 72 74 120 122	43694642418
SPT(16)	2148588402078021331	0 10 22 28 30 36 70 72 106 108 142 148 150 156 168 178	388255282190
STPT(10)	2148588508178021867	0 2 42 44 72 74 102 104 144 146	494355282726
STPT(10)	2148589325935699247	0 2 30 32 42 44 54 56 84 86	1312112960106