Prime p₀= 2309298063915589457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2309297292787080857	0 2 6 24 32 42 62 72 134 144 164 174 182 200 204 206	-771128508600
SPT(16)	2309297330515833961	0 88 132 142 190 232 252 310 330 388 408 450 498 508 552 640	-733399755496
STPT(10)	2309297360789538149	0 2 30 32 60 62 90 92 120 122	-703126051308
SPT(16)	2309297589029735593	0 6 24 66 70 100 106 150 154 198 204 234 238 280 298 304	-474885853864
SPT(16)	2309297842338410141	0 18 26 38 98 116 150 176 312 338 372 390 450 462 470 488	-221577179316
SPT(16)	2309298063141235181	0 38 96 98 158 176 192 210 218 236 252 270 330 332 390 428	-774354276
SPT(16)	2309298144951595979	0 2 12 30 62 90 102 114 128 140 152 180 212 230 240 242	81036006522
SPT(16)	2309298367037505617	0 30 42 60 72 102 120 132 140 152 170 200 212 230 242 272	303121916160
STPT(10)	2309298527438491637	0 2 42 44 72 74 102 104 144 146	463522902180
STPT(10)	2309299190179944461	0 2 36 38 78 80 120 122 156 158	1126264355004
STPT(10)	2309299310046005279	0 2 30 32 60 62 90 92 120 122	1246130415822