Prime p₀= 1958592031849201781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 28 2 10 2 34 2 22 2 (?)
a_n: 0 2 30 32 138 140 168 170 180 182 216 218 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 28 106 28 10 34 22

SPT(16)	1958590802628845977	0 30 60 76 106 126 132 142 144 154 160 180 210 226 256 286	-1229220355804
STPT(10)	1958591253501215537	0 2 12 14 42 44 72 74 84 86	-778347986244
SPT(16)	1958591370076950619	0 30 40 48 58 108 124 132 160 168 184 234 244 252 262 292	-661772251162
SPT(16)	1958591399552436457	0 6 90 120 142 154 202 204 292 294 342 354 376 406 490 496	-632296765324
STPT(12)	1958591883667422779	0 2 42 44 72 74 150 152 180 182 222 224	-148181779002
SPT(16)	1958591929426727171	0 12 38 96 98 126 146 162 266 282 302 330 332 390 416 428	-102422474610
SPT(16)	1958592086185331087	0 32 44 56 74 102 116 126 140 150 164 192 210 222 234 266	54336129306
STPT(10)	1958592235497550151	0 2 36 38 78 80 120 122 156 158	203648348370
TPT(14)	1958592706714033727	0 2 42 44 54 56 72 74 84 86 120 122 252 254	674864831946
TPT(14)	1958592938536187909	0 2 18 20 90 92 198 200 270 272 348 350 378 380	906686986128
STPT(10)	1958593379010830171	0 2 36 38 78 80 120 122 156 158	1347161628390