Prime p₀= 2234589109657664687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 88 2 28 2 76 2 46 2 (?)
a_n: 0 2 30 32 54 56 144 146 174 176 252 254 300 302
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: JayPi
db: batch=81, k=14, 28 22 88 28 76 46

SPT(16)	2234588567520501757	0 22 66 70 90 102 112 120 136 144 154 166 186 190 234 256	-542137162930
SPT(16)	2234588607392820841	0 16 66 130 172 192 196 210 298 312 316 336 378 442 492 508	-502264843846
STPT(10)	2234588613798148967	0 2 60 62 72 74 84 86 144 146	-495859515720
STPT(10)	2234588655594084701	0 2 6 8 18 20 30 32 36 38	-454063579986
STPT(10)	2234588686853075339	0 2 42 44 90 92 138 140 180 182	-422804589348
SPT(16)	2234588761273237111	0 10 12 18 28 30 52 72 166 186 208 210 220 226 228 238	-348384427576
SPT(16)	2234589380398663339	0 10 28 72 88 90 112 130 132 150 172 174 190 234 252 262	270740998652
STPT(10)	2234590041971820677	0 2 60 62 72 74 84 86 144 146	932314155990
STPT(12)	2234590625702289887	0 2 30 32 42 44 90 92 102 104 132 134	1516044625200
SPT(16)	2234590994108703511	0 10 12 22 42 78 100 102 106 108 130 166 186 196 198 208	1884451038824
STPT(10)	2234591155339766957	0 2 30 32 42 44 54 56 84 86	2045682102270