Prime p₀= 4044869619298484609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Centaur
db: batch=84, k=10, 2 40 2 46 2

SPT(16)	4044868085709088387	0 16 46 102 112 136 156 190 192 226 246 270 280 336 366 382	-1533589396222
STPT(10)	4044868517835269429	0 2 42 44 90 92 138 140 180 182	-1101463215180
STPT(10)	4044868554327605657	0 2 42 44 72 74 102 104 144 146	-1064970878952
STPT(10)	4044868916903806001	0 2 6 8 48 50 90 92 96 98	-702394678608
SPT(16)	4044868942651697441	0 32 56 72 78 116 120 152 186 218 222 260 266 282 306 338	-676646787168
STPT(10)	4044869136005675321	0 2 36 38 78 80 120 122 156 158	-483292809288
STPT(10)	4044869767468847927	0 2 30 32 42 44 54 56 84 86	148170363318
STPT(10)	4044869870386675397	0 2 12 14 72 74 132 134 144 146	251088190788
SPT(16)	4044869996843694217	0 6 24 36 66 72 84 96 150 162 174 180 210 222 240 246	377545209608
TPT(14)	4044870242462892389	0 2 30 32 42 44 108 110 120 122 180 182 198 200	623164407780
TPT(14)	4044870317767621997	0 2 12 14 54 56 90 92 174 176 180 182 282 284	698469137388