Prime p₀= 1144387534036308929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 28 2 28 2 142 2 88 2 (?)
a_n: 0 2 42 44 48 50 78 80 108 110 252 254 342 344
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: 344
Found by: Alnitak2019
db: batch=76, k=14, 40 4 28 28 142 88

SPT(16)	1144386616568594977	0 84 114 120 166 184 190 196 210 216 222 240 286 292 322 406	-917467713952
STPT(10)	1144386663313695467	0 2 12 14 42 44 72 74 84 86	-870722613462
SPT(16)	1144386683346763919	0 30 108 128 150 170 182 192 200 210 222 242 264 284 362 392	-850689545010
SPT(16)	1144386693518933929	0 28 30 58 70 78 84 94 204 214 220 228 240 268 270 298	-840517375000
SPT(18)	1144387123916096443	0 6 40 60 84 120 138 148 160 174 186 196 214 250 274 294 328 334	-410120212486
STPT(10)	1144387515404761877	0 2 12 14 42 44 72 74 84 86	-18631547052
SPT(16)	1144387816731117271	0 22 42 48 70 78 112 150 178 216 250 258 280 286 306 328	282694808342
STPT(10)	1144387884340942271	0 2 30 32 60 62 90 92 120 122	350304633342
STPT(10)	1144388122324322957	0 2 12 14 72 74 132 134 144 146	588288014028
SPT(16)	1144388435995285807	0 42 60 72 82 84 102 112 144 154 172 174 184 196 214 256	901958976878
STPT(10)	1144388987086506779	0 2 48 50 60 62 72 74 120 122	1453050197850