Prime p₀= 1014254907431209649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 34 2 40 2 46 2 22 2 (?)
a_n: 0 2 72 74 132 134 168 170 210 212 258 260 282 284
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: 284
Found by: HenkM
db: batch=76, k=14, 70 58 34 40 46 22

SPT(16)	1014254637874140251	0 8 18 30 36 78 98 116 162 180 200 242 248 260 270 278	-269557069398
SPT(16)	1014254695177009243	0 6 16 18 34 46 66 88 96 118 138 150 166 168 178 184	-212254200406
STPT(10)	1014254764982579171	0 2 6 8 18 20 30 32 36 38	-142448630478
STPT(10)	1014254785880712707	0 2 90 92 102 104 114 116 204 206	-121550496942
TPT(14)	1014254880466933289	0 2 18 20 30 32 60 62 90 92 120 122 132 134	-26964276360
STPT(12)	1014254880466933307	0 2 12 14 42 44 72 74 102 104 114 116	-26964276342
STPT(10)	1014254942706854657	0 2 30 32 42 44 54 56 84 86	35275645008
SPT(16)	1014255016552166783	0 38 60 78 80 98 146 150 224 228 276 294 296 314 336 374	109120957134
STPT(10)	1014255305131402067	0 2 24 26 42 44 60 62 84 86	397700192418
SPT(16)	1014255405744076861	0 28 36 46 72 82 88 96 112 120 126 136 162 172 180 208	498312867212
SPT(16)	1014255881563364287	0 46 60 70 84 126 156 180 196 220 250 292 306 316 330 376	974132154638