Prime p₀= 1404049620196286681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: MarkRBright
db: batch=78, k=10, 2 34 2 40 2

TPT(14)	1404048105731552987	0 2 30 32 60 62 114 116 192 194 390 392 402 404	-1514464733694
SPT(16)	1404048418368478613	0 86 110 126 150 164 168 188 216 236 240 254 278 294 318 404	-1201827808068
SPT(16)	1404048444434434439	0 2 14 18 78 84 114 128 174 188 218 224 284 288 300 302	-1175761852242
STPT(10)	1404048858810457859	0 2 18 20 30 32 42 44 60 62	-761385828822
SPT(16)	1404049061320244539	0 58 72 78 82 142 160 210 280 330 348 408 412 418 432 490	-558876042142
SPT(16)	1404049241743663381	0 28 58 100 102 118 130 132 166 168 180 196 198 240 270 298	-378452623300
SPT(16)	1404049786300244627	0 66 90 110 126 134 180 266 300 386 432 440 456 476 500 566	166103957946
SPT(16)	1404050499858587221	0 6 28 60 76 90 138 142 156 160 208 222 238 270 292 298	879662300540
SPT(16)	1404051003697331917	0 4 16 30 76 90 96 124 132 160 166 180 226 240 252 256	1383501045236
STPT(10)	1404051273833066861	0 2 36 38 78 80 120 122 156 158	1653636780180
TPT(14)	1404051408056142827	0 2 42 44 102 104 132 134 210 212 252 254 354 356	1787859856146