Prime p₀= 2248343688413083361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 34 2 112 2 4 2 (?)
a_n: 0 2 36 38 48 50 90 92 126 128 240 242 246 248
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: 248
Found by: JayPi
db: batch=81, k=14, 34 10 40 34 112 4

SPT(16)	2248342416116988377	0 20 44 72 86 134 174 176 180 182 222 270 284 312 336 356	-1272296094984
SPT(16)	2248342501390259987	0 20 56 62 72 116 144 164 192 212 240 284 294 300 336 356	-1187022823374
TPT(14)	2248342849302860831	0 2 66 68 96 98 180 182 210 212 318 320 330 332	-839110222530
STPT(10)	2248343083911245591	0 2 6 8 48 50 90 92 96 98	-604501837770
SPT(16)	2248343237749785871	0 36 66 76 136 162 178 190 198 210 226 252 312 322 352 388	-450663297490
SPT(16)	2248343418795771799	0 10 12 22 40 52 60 82 90 112 120 132 150 160 162 172	-269617311562
STPT(10)	2248344571094311889	0 2 42 44 90 92 138 140 180 182	882681228528
SPT(16)	2248345298084514511	0 42 60 100 106 108 156 208 210 262 310 312 318 358 376 418	1609671431150
STPT(10)	2248345689116722379	0 2 18 20 30 32 42 44 60 62	2000703639018
SPT(16)	2248345893453343961	0 6 56 98 120 158 180 186 260 266 288 326 348 390 440 446	2205040260600
STPT(10)	2248346585651632517	0 2 72 74 102 104 132 134 204 206	2897238549156