Prime p₀= 2053812582954961877 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: Dingo
db: batch=80, k=10, 2 40 2 28 2

TPT(14)	2053811495363773751	0 2 48 50 60 62 90 92 210 212 216 218 240 242	-1087591188126
STPT(10)	2053811895293994947	0 2 42 44 72 74 102 104 144 146	-687660966930
STPT(10)	2053811934336784337	0 2 42 44 72 74 102 104 144 146	-648618177540
SPT(16)	2053812124212627379	0 12 30 58 82 94 108 124 168 184 198 210 234 262 280 292	-458742334498
STPT(10)	2053812147516061529	0 2 42 44 60 62 78 80 120 122	-435438900348
SPT(13)	2053812526022802551	0 12 66 156 180 210 216 222 252 276 366 420 432	-56932159326
SPT(16)	2053812648568801457	0 30 42 44 60 74 84 102 134 152 162 176 192 194 206 236	65613839580
TPT(14)	2053812703426314629	0 2 78 80 162 164 168 170 198 200 210 212 282 284	120471352752
STPT(10)	2053812756379109861	0 2 36 38 78 80 120 122 156 158	173424147984
SPT(16)	2053812852240465859	0 28 34 72 102 112 142 190 222 270 300 310 340 378 384 412	269285503982
SPT(16)	2053813010662384067	0 12 20 50 122 126 140 152 174 186 200 204 276 306 314 326	427707422190